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Finding the Third Proportional to 45,116 and 63,571

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Solution

The third proportional to 45,116 and 63,571 is: 89,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,116 : 63,571 = 63,571 : x
  2. Step 2: Convert to fraction form
    45,116/63,571 = 63,571/x
  3. Step 3: Cross multiply
    45,116x = 63,571 × 63,571
  4. Step 4: Simplify right side
    45,116x = 4,041,272,041
  5. Step 5: Solve for x
    x = 4,041,272,041/45,116
  6. Step 6: Final answer
    x = 89,575.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.