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Finding the Third Proportional to 29,442.75 and 63,808.50

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Solution

The third proportional to 29,442.75 and 63,808.50 is: 138,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442.75 : 63,808.50 = 63,808.50 : x
  2. Step 2: Convert to fraction form
    29,442.75/63,808.50 = 63,808.50/x
  3. Step 3: Cross multiply
    29,442.75x = 63,808.50 × 63,808.50
  4. Step 4: Simplify right side
    29,442.75x = 4,071,524,672.25
  5. Step 5: Solve for x
    x = 4,071,524,672.25/29,442.75
  6. Step 6: Final answer
    x = 138,286.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.