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Finding the Third Proportional to 29,782.50 and 63,882

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Solution

The third proportional to 29,782.50 and 63,882 is: 137,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.50 : 63,882 = 63,882 : x
  2. Step 2: Convert to fraction form
    29,782.50/63,882 = 63,882/x
  3. Step 3: Cross multiply
    29,782.50x = 63,882 × 63,882
  4. Step 4: Simplify right side
    29,782.50x = 4,080,909,924
  5. Step 5: Solve for x
    x = 4,080,909,924/29,782.50
  6. Step 6: Final answer
    x = 137,023.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.