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Finding the Third Proportional to 47,374.50 and 68,442

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Solution

The third proportional to 47,374.50 and 68,442 is: 98,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374.50 : 68,442 = 68,442 : x
  2. Step 2: Convert to fraction form
    47,374.50/68,442 = 68,442/x
  3. Step 3: Cross multiply
    47,374.50x = 68,442 × 68,442
  4. Step 4: Simplify right side
    47,374.50x = 4,684,307,364
  5. Step 5: Solve for x
    x = 4,684,307,364/47,374.50
  6. Step 6: Final answer
    x = 98,878.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.