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Finding the Third Proportional to 40,867.50 and 63,306

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Solution

The third proportional to 40,867.50 and 63,306 is: 98,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867.50 : 63,306 = 63,306 : x
  2. Step 2: Convert to fraction form
    40,867.50/63,306 = 63,306/x
  3. Step 3: Cross multiply
    40,867.50x = 63,306 × 63,306
  4. Step 4: Simplify right side
    40,867.50x = 4,007,649,636
  5. Step 5: Solve for x
    x = 4,007,649,636/40,867.50
  6. Step 6: Final answer
    x = 98,064.47

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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.