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Finding the Third Proportional to 29,554 and 63,260

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Solution

The third proportional to 29,554 and 63,260 is: 135,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,554 : 63,260 = 63,260 : x
  2. Step 2: Convert to fraction form
    29,554/63,260 = 63,260/x
  3. Step 3: Cross multiply
    29,554x = 63,260 × 63,260
  4. Step 4: Simplify right side
    29,554x = 4,001,827,600
  5. Step 5: Solve for x
    x = 4,001,827,600/29,554
  6. Step 6: Final answer
    x = 135,407.31

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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.