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Finding the Third Proportional to 29,547 and 63,245

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Solution

The third proportional to 29,547 and 63,245 is: 135,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547 : 63,245 = 63,245 : x
  2. Step 2: Convert to fraction form
    29,547/63,245 = 63,245/x
  3. Step 3: Cross multiply
    29,547x = 63,245 × 63,245
  4. Step 4: Simplify right side
    29,547x = 3,999,930,025
  5. Step 5: Solve for x
    x = 3,999,930,025/29,547
  6. Step 6: Final answer
    x = 135,375.17

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Why These Related Problems?

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