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Finding the Third Proportional to 13,090.13 and 28,623.75

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Solution

The third proportional to 13,090.13 and 28,623.75 is: 62,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.13 : 28,623.75 = 28,623.75 : x
  2. Step 2: Convert to fraction form
    13,090.13/28,623.75 = 28,623.75/x
  3. Step 3: Cross multiply
    13,090.13x = 28,623.75 × 28,623.75
  4. Step 4: Simplify right side
    13,090.13x = 819,319,064.06
  5. Step 5: Solve for x
    x = 819,319,064.06/13,090.13
  6. Step 6: Final answer
    x = 62,590.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.