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Finding the Third Proportional to 46,142 and 61,581

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Solution

The third proportional to 46,142 and 61,581 is: 82,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142 : 61,581 = 61,581 : x
  2. Step 2: Convert to fraction form
    46,142/61,581 = 61,581/x
  3. Step 3: Cross multiply
    46,142x = 61,581 × 61,581
  4. Step 4: Simplify right side
    46,142x = 3,792,219,561
  5. Step 5: Solve for x
    x = 3,792,219,561/46,142
  6. Step 6: Final answer
    x = 82,185.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.