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Finding the Third Proportional to 40,420.50 and 87,294

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Solution

The third proportional to 40,420.50 and 87,294 is: 188,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,420.50 : 87,294 = 87,294 : x
  2. Step 2: Convert to fraction form
    40,420.50/87,294 = 87,294/x
  3. Step 3: Cross multiply
    40,420.50x = 87,294 × 87,294
  4. Step 4: Simplify right side
    40,420.50x = 7,620,242,436
  5. Step 5: Solve for x
    x = 7,620,242,436/40,420.50
  6. Step 6: Final answer
    x = 188,524.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.