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Finding the Third Proportional to 56,497.50 and 77,468.91

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Solution

The third proportional to 56,497.50 and 77,468.91 is: 106,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.50 : 77,468.91 = 77,468.91 : x
  2. Step 2: Convert to fraction form
    56,497.50/77,468.91 = 77,468.91/x
  3. Step 3: Cross multiply
    56,497.50x = 77,468.91 × 77,468.91
  4. Step 4: Simplify right side
    56,497.50x = 6,001,431,435.57
  5. Step 5: Solve for x
    x = 6,001,431,435.57/56,497.50
  6. Step 6: Final answer
    x = 106,224.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.