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Finding the Third Proportional to 29,689.88 and 63,023.06

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Solution

The third proportional to 29,689.88 and 63,023.06 is: 133,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.88 : 63,023.06 = 63,023.06 : x
  2. Step 2: Convert to fraction form
    29,689.88/63,023.06 = 63,023.06/x
  3. Step 3: Cross multiply
    29,689.88x = 63,023.06 × 63,023.06
  4. Step 4: Simplify right side
    29,689.88x = 3,971,906,406.88
  5. Step 5: Solve for x
    x = 3,971,906,406.88/29,689.88
  6. Step 6: Final answer
    x = 133,779.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.