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Finding the Third Proportional to 29,154 and 44,076

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Solution

The third proportional to 29,154 and 44,076 is: 66,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154 : 44,076 = 44,076 : x
  2. Step 2: Convert to fraction form
    29,154/44,076 = 44,076/x
  3. Step 3: Cross multiply
    29,154x = 44,076 × 44,076
  4. Step 4: Simplify right side
    29,154x = 1,942,693,776
  5. Step 5: Solve for x
    x = 1,942,693,776/29,154
  6. Step 6: Final answer
    x = 66,635.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.