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Finding the Third Proportional to 15,994.13 and 31,623.75

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Solution

The third proportional to 15,994.13 and 31,623.75 is: 62,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.13 : 31,623.75 = 31,623.75 : x
  2. Step 2: Convert to fraction form
    15,994.13/31,623.75 = 31,623.75/x
  3. Step 3: Cross multiply
    15,994.13x = 31,623.75 × 31,623.75
  4. Step 4: Simplify right side
    15,994.13x = 1,000,061,564.06
  5. Step 5: Solve for x
    x = 1,000,061,564.06/15,994.13
  6. Step 6: Final answer
    x = 62,526.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.