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Finding the Third Proportional to 40,974.61 and 63,281.53

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Solution

The third proportional to 40,974.61 and 63,281.53 is: 97,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,974.61 : 63,281.53 = 63,281.53 : x
  2. Step 2: Convert to fraction form
    40,974.61/63,281.53 = 63,281.53/x
  3. Step 3: Cross multiply
    40,974.61x = 63,281.53 × 63,281.53
  4. Step 4: Simplify right side
    40,974.61x = 4,004,552,197.34
  5. Step 5: Solve for x
    x = 4,004,552,197.34/40,974.61
  6. Step 6: Final answer
    x = 97,732.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.