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Finding the Third Proportional to 45,028 and 67,566

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Solution

The third proportional to 45,028 and 67,566 is: 101,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028 : 67,566 = 67,566 : x
  2. Step 2: Convert to fraction form
    45,028/67,566 = 67,566/x
  3. Step 3: Cross multiply
    45,028x = 67,566 × 67,566
  4. Step 4: Simplify right side
    45,028x = 4,565,164,356
  5. Step 5: Solve for x
    x = 4,565,164,356/45,028
  6. Step 6: Final answer
    x = 101,385.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.