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Finding the Third Proportional to 29,547.75 and 63,246.75

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Solution

The third proportional to 29,547.75 and 63,246.75 is: 135,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.75 : 63,246.75 = 63,246.75 : x
  2. Step 2: Convert to fraction form
    29,547.75/63,246.75 = 63,246.75/x
  3. Step 3: Cross multiply
    29,547.75x = 63,246.75 × 63,246.75
  4. Step 4: Simplify right side
    29,547.75x = 4,000,151,385.56
  5. Step 5: Solve for x
    x = 4,000,151,385.56/29,547.75
  6. Step 6: Final answer
    x = 135,379.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.