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Finding the Third Proportional to 15,994.13 and 24,477.19

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Solution

The third proportional to 15,994.13 and 24,477.19 is: 37,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.13 : 24,477.19 = 24,477.19 : x
  2. Step 2: Convert to fraction form
    15,994.13/24,477.19 = 24,477.19/x
  3. Step 3: Cross multiply
    15,994.13x = 24,477.19 × 24,477.19
  4. Step 4: Simplify right side
    15,994.13x = 599,132,707.91
  5. Step 5: Solve for x
    x = 599,132,707.91/15,994.13
  6. Step 6: Final answer
    x = 37,459.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.