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Finding the Third Proportional to 15,929.79 and 24,580.97

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Solution

The third proportional to 15,929.79 and 24,580.97 is: 37,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.79 : 24,580.97 = 24,580.97 : x
  2. Step 2: Convert to fraction form
    15,929.79/24,580.97 = 24,580.97/x
  3. Step 3: Cross multiply
    15,929.79x = 24,580.97 × 24,580.97
  4. Step 4: Simplify right side
    15,929.79x = 604,224,024.69
  5. Step 5: Solve for x
    x = 604,224,024.69/15,929.79
  6. Step 6: Final answer
    x = 37,930.45

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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.