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Finding the Third Proportional to 40,883 and 63,326

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Solution

The third proportional to 40,883 and 63,326 is: 98,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,883 : 63,326 = 63,326 : x
  2. Step 2: Convert to fraction form
    40,883/63,326 = 63,326/x
  3. Step 3: Cross multiply
    40,883x = 63,326 × 63,326
  4. Step 4: Simplify right side
    40,883x = 4,010,182,276
  5. Step 5: Solve for x
    x = 4,010,182,276/40,883
  6. Step 6: Final answer
    x = 98,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.