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Finding the Third Proportional to 45,414 and 66,660

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Solution

The third proportional to 45,414 and 66,660 is: 97,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414 : 66,660 = 66,660 : x
  2. Step 2: Convert to fraction form
    45,414/66,660 = 66,660/x
  3. Step 3: Cross multiply
    45,414x = 66,660 × 66,660
  4. Step 4: Simplify right side
    45,414x = 4,443,555,600
  5. Step 5: Solve for x
    x = 4,443,555,600/45,414
  6. Step 6: Final answer
    x = 97,845.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.