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Finding the Third Proportional to 19,984.50 and 40,657.50

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Solution

The third proportional to 19,984.50 and 40,657.50 is: 82,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.50 : 40,657.50 = 40,657.50 : x
  2. Step 2: Convert to fraction form
    19,984.50/40,657.50 = 40,657.50/x
  3. Step 3: Cross multiply
    19,984.50x = 40,657.50 × 40,657.50
  4. Step 4: Simplify right side
    19,984.50x = 1,653,032,306.25
  5. Step 5: Solve for x
    x = 1,653,032,306.25/19,984.50
  6. Step 6: Final answer
    x = 82,715.72

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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.