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Finding the Third Proportional to 56,496.66 and 76,642.88

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Solution

The third proportional to 56,496.66 and 76,642.88 is: 103,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,496.66 : 76,642.88 = 76,642.88 : x
  2. Step 2: Convert to fraction form
    56,496.66/76,642.88 = 76,642.88/x
  3. Step 3: Cross multiply
    56,496.66x = 76,642.88 × 76,642.88
  4. Step 4: Simplify right side
    56,496.66x = 5,874,130,288.27
  5. Step 5: Solve for x
    x = 5,874,130,288.27/56,496.66
  6. Step 6: Final answer
    x = 103,973.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.