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Finding the Third Proportional to 45,315 and 66,650

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Solution

The third proportional to 45,315 and 66,650 is: 98,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 66,650 = 66,650 : x
  2. Step 2: Convert to fraction form
    45,315/66,650 = 66,650/x
  3. Step 3: Cross multiply
    45,315x = 66,650 × 66,650
  4. Step 4: Simplify right side
    45,315x = 4,442,222,500
  5. Step 5: Solve for x
    x = 4,442,222,500/45,315
  6. Step 6: Final answer
    x = 98,029.85

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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.