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Finding the Third Proportional to 63,582 and 84,373.50

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Solution

The third proportional to 63,582 and 84,373.50 is: 111,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,582 : 84,373.50 = 84,373.50 : x
  2. Step 2: Convert to fraction form
    63,582/84,373.50 = 84,373.50/x
  3. Step 3: Cross multiply
    63,582x = 84,373.50 × 84,373.50
  4. Step 4: Simplify right side
    63,582x = 7,118,887,502.25
  5. Step 5: Solve for x
    x = 7,118,887,502.25/63,582
  6. Step 6: Final answer
    x = 111,963.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.