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Finding the Third Proportional to 29,521 and 64,487

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Solution

The third proportional to 29,521 and 64,487 is: 140,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,521 : 64,487 = 64,487 : x
  2. Step 2: Convert to fraction form
    29,521/64,487 = 64,487/x
  3. Step 3: Cross multiply
    29,521x = 64,487 × 64,487
  4. Step 4: Simplify right side
    29,521x = 4,158,573,169
  5. Step 5: Solve for x
    x = 4,158,573,169/29,521
  6. Step 6: Final answer
    x = 140,868.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.