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Finding the Third Proportional to 29,376 and 64,584

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Solution

The third proportional to 29,376 and 64,584 is: 141,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,376 : 64,584 = 64,584 : x
  2. Step 2: Convert to fraction form
    29,376/64,584 = 64,584/x
  3. Step 3: Cross multiply
    29,376x = 64,584 × 64,584
  4. Step 4: Simplify right side
    29,376x = 4,171,093,056
  5. Step 5: Solve for x
    x = 4,171,093,056/29,376
  6. Step 6: Final answer
    x = 141,989.82

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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.