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Finding the Third Proportional to 29,439 and 63,573

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Solution

The third proportional to 29,439 and 63,573 is: 137,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439 : 63,573 = 63,573 : x
  2. Step 2: Convert to fraction form
    29,439/63,573 = 63,573/x
  3. Step 3: Cross multiply
    29,439x = 63,573 × 63,573
  4. Step 4: Simplify right side
    29,439x = 4,041,526,329
  5. Step 5: Solve for x
    x = 4,041,526,329/29,439
  6. Step 6: Final answer
    x = 137,284.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.