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Finding the Third Proportional to 24,549.75 and 37,783.13

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Solution

The third proportional to 24,549.75 and 37,783.13 is: 58,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.75 : 37,783.13 = 37,783.13 : x
  2. Step 2: Convert to fraction form
    24,549.75/37,783.13 = 37,783.13/x
  3. Step 3: Cross multiply
    24,549.75x = 37,783.13 × 37,783.13
  4. Step 4: Simplify right side
    24,549.75x = 1,427,564,534.77
  5. Step 5: Solve for x
    x = 1,427,564,534.77/24,549.75
  6. Step 6: Final answer
    x = 58,149.86

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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.