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Finding the Third Proportional to 45,366 and 64,520

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Solution

The third proportional to 45,366 and 64,520 is: 91,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,366 : 64,520 = 64,520 : x
  2. Step 2: Convert to fraction form
    45,366/64,520 = 64,520/x
  3. Step 3: Cross multiply
    45,366x = 64,520 × 64,520
  4. Step 4: Simplify right side
    45,366x = 4,162,830,400
  5. Step 5: Solve for x
    x = 4,162,830,400/45,366
  6. Step 6: Final answer
    x = 91,761.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.