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Finding the Third Proportional to 29,300 and 63,458

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Solution

The third proportional to 29,300 and 63,458 is: 137,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,300 : 63,458 = 63,458 : x
  2. Step 2: Convert to fraction form
    29,300/63,458 = 63,458/x
  3. Step 3: Cross multiply
    29,300x = 63,458 × 63,458
  4. Step 4: Simplify right side
    29,300x = 4,026,917,764
  5. Step 5: Solve for x
    x = 4,026,917,764/29,300
  6. Step 6: Final answer
    x = 137,437.47

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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.