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Finding the Third Proportional to 48,846 and 64,521

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Solution

The third proportional to 48,846 and 64,521 is: 85,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,846 : 64,521 = 64,521 : x
  2. Step 2: Convert to fraction form
    48,846/64,521 = 64,521/x
  3. Step 3: Cross multiply
    48,846x = 64,521 × 64,521
  4. Step 4: Simplify right side
    48,846x = 4,162,959,441
  5. Step 5: Solve for x
    x = 4,162,959,441/48,846
  6. Step 6: Final answer
    x = 85,226.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.