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Finding the Third Proportional to 29,911.50 and 63,711

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Solution

The third proportional to 29,911.50 and 63,711 is: 135,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911.50 : 63,711 = 63,711 : x
  2. Step 2: Convert to fraction form
    29,911.50/63,711 = 63,711/x
  3. Step 3: Cross multiply
    29,911.50x = 63,711 × 63,711
  4. Step 4: Simplify right side
    29,911.50x = 4,059,091,521
  5. Step 5: Solve for x
    x = 4,059,091,521/29,911.50
  6. Step 6: Final answer
    x = 135,703.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.