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Finding the Third Proportional to 15,805.13 and 24,301.69

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Solution

The third proportional to 15,805.13 and 24,301.69 is: 37,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.13 : 24,301.69 = 24,301.69 : x
  2. Step 2: Convert to fraction form
    15,805.13/24,301.69 = 24,301.69/x
  3. Step 3: Cross multiply
    15,805.13x = 24,301.69 × 24,301.69
  4. Step 4: Simplify right side
    15,805.13x = 590,572,015.35
  5. Step 5: Solve for x
    x = 590,572,015.35/15,805.13
  6. Step 6: Final answer
    x = 37,365.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.