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Finding the Third Proportional to 29,320 and 64,471

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Solution

The third proportional to 29,320 and 64,471 is: 141,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,320 : 64,471 = 64,471 : x
  2. Step 2: Convert to fraction form
    29,320/64,471 = 64,471/x
  3. Step 3: Cross multiply
    29,320x = 64,471 × 64,471
  4. Step 4: Simplify right side
    29,320x = 4,156,509,841
  5. Step 5: Solve for x
    x = 4,156,509,841/29,320
  6. Step 6: Final answer
    x = 141,763.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.