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Finding the Third Proportional to 24,512.63 and 37,729.13

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Solution

The third proportional to 24,512.63 and 37,729.13 is: 58,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.63 : 37,729.13 = 37,729.13 : x
  2. Step 2: Convert to fraction form
    24,512.63/37,729.13 = 37,729.13/x
  3. Step 3: Cross multiply
    24,512.63x = 37,729.13 × 37,729.13
  4. Step 4: Simplify right side
    24,512.63x = 1,423,486,873.27
  5. Step 5: Solve for x
    x = 1,423,486,873.27/24,512.63
  6. Step 6: Final answer
    x = 58,071.58

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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.