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Finding the Third Proportional to 29,263 and 64,853

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Solution

The third proportional to 29,263 and 64,853 is: 143,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,263 : 64,853 = 64,853 : x
  2. Step 2: Convert to fraction form
    29,263/64,853 = 64,853/x
  3. Step 3: Cross multiply
    29,263x = 64,853 × 64,853
  4. Step 4: Simplify right side
    29,263x = 4,205,911,609
  5. Step 5: Solve for x
    x = 4,205,911,609/29,263
  6. Step 6: Final answer
    x = 143,727.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.