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Finding the Third Proportional to 24,090.75 and 37,594.13

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Solution

The third proportional to 24,090.75 and 37,594.13 is: 58,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090.75 : 37,594.13 = 37,594.13 : x
  2. Step 2: Convert to fraction form
    24,090.75/37,594.13 = 37,594.13/x
  3. Step 3: Cross multiply
    24,090.75x = 37,594.13 × 37,594.13
  4. Step 4: Simplify right side
    24,090.75x = 1,413,318,234.52
  5. Step 5: Solve for x
    x = 1,413,318,234.52/24,090.75
  6. Step 6: Final answer
    x = 58,666.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.