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Finding the Third Proportional to 29,951 and 63,553

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Solution

The third proportional to 29,951 and 63,553 is: 134,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951 : 63,553 = 63,553 : x
  2. Step 2: Convert to fraction form
    29,951/63,553 = 63,553/x
  3. Step 3: Cross multiply
    29,951x = 63,553 × 63,553
  4. Step 4: Simplify right side
    29,951x = 4,038,983,809
  5. Step 5: Solve for x
    x = 4,038,983,809/29,951
  6. Step 6: Final answer
    x = 134,853.05

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Why These Related Problems?

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