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Finding the Third Proportional to 29,711 and 64,545

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Solution

The third proportional to 29,711 and 64,545 is: 140,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711 : 64,545 = 64,545 : x
  2. Step 2: Convert to fraction form
    29,711/64,545 = 64,545/x
  3. Step 3: Cross multiply
    29,711x = 64,545 × 64,545
  4. Step 4: Simplify right side
    29,711x = 4,166,057,025
  5. Step 5: Solve for x
    x = 4,166,057,025/29,711
  6. Step 6: Final answer
    x = 140,219.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.