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Finding the Third Proportional to 24,907.50 and 37,594.13

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Solution

The third proportional to 24,907.50 and 37,594.13 is: 56,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907.50 : 37,594.13 = 37,594.13 : x
  2. Step 2: Convert to fraction form
    24,907.50/37,594.13 = 37,594.13/x
  3. Step 3: Cross multiply
    24,907.50x = 37,594.13 × 37,594.13
  4. Step 4: Simplify right side
    24,907.50x = 1,413,318,234.52
  5. Step 5: Solve for x
    x = 1,413,318,234.52/24,907.50
  6. Step 6: Final answer
    x = 56,742.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.