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Finding the Third Proportional to 45,946 and 67,571

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Solution

The third proportional to 45,946 and 67,571 is: 99,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946 : 67,571 = 67,571 : x
  2. Step 2: Convert to fraction form
    45,946/67,571 = 67,571/x
  3. Step 3: Cross multiply
    45,946x = 67,571 × 67,571
  4. Step 4: Simplify right side
    45,946x = 4,565,840,041
  5. Step 5: Solve for x
    x = 4,565,840,041/45,946
  6. Step 6: Final answer
    x = 99,374.05

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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.