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Finding the Third Proportional to 44,710 and 66,292

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Solution

The third proportional to 44,710 and 66,292 is: 98,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,710 : 66,292 = 66,292 : x
  2. Step 2: Convert to fraction form
    44,710/66,292 = 66,292/x
  3. Step 3: Cross multiply
    44,710x = 66,292 × 66,292
  4. Step 4: Simplify right side
    44,710x = 4,394,629,264
  5. Step 5: Solve for x
    x = 4,394,629,264/44,710
  6. Step 6: Final answer
    x = 98,291.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.