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Finding the Third Proportional to 40,471 and 94,527

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Solution

The third proportional to 40,471 and 94,527 is: 220,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,471 : 94,527 = 94,527 : x
  2. Step 2: Convert to fraction form
    40,471/94,527 = 94,527/x
  3. Step 3: Cross multiply
    40,471x = 94,527 × 94,527
  4. Step 4: Simplify right side
    40,471x = 8,935,353,729
  5. Step 5: Solve for x
    x = 8,935,353,729/40,471
  6. Step 6: Final answer
    x = 220,784.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.