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Finding the Third Proportional to 24,244.31 and 37,444.78

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Solution

The third proportional to 24,244.31 and 37,444.78 is: 57,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244.31 : 37,444.78 = 37,444.78 : x
  2. Step 2: Convert to fraction form
    24,244.31/37,444.78 = 37,444.78/x
  3. Step 3: Cross multiply
    24,244.31x = 37,444.78 × 37,444.78
  4. Step 4: Simplify right side
    24,244.31x = 1,402,111,642.86
  5. Step 5: Solve for x
    x = 1,402,111,642.86/24,244.31
  6. Step 6: Final answer
    x = 57,832.60

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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.