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Finding the Third Proportional to 29,557 and 44,642

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Solution

The third proportional to 29,557 and 44,642 is: 67,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557 : 44,642 = 44,642 : x
  2. Step 2: Convert to fraction form
    29,557/44,642 = 44,642/x
  3. Step 3: Cross multiply
    29,557x = 44,642 × 44,642
  4. Step 4: Simplify right side
    29,557x = 1,992,908,164
  5. Step 5: Solve for x
    x = 1,992,908,164/29,557
  6. Step 6: Final answer
    x = 67,425.93

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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.