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Finding the Third Proportional to 31,437 and 63,786

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Solution

The third proportional to 31,437 and 63,786 is: 129,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,437 : 63,786 = 63,786 : x
  2. Step 2: Convert to fraction form
    31,437/63,786 = 63,786/x
  3. Step 3: Cross multiply
    31,437x = 63,786 × 63,786
  4. Step 4: Simplify right side
    31,437x = 4,068,653,796
  5. Step 5: Solve for x
    x = 4,068,653,796/31,437
  6. Step 6: Final answer
    x = 129,422.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.