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Finding the Third Proportional to 48,248 and 76,582

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Solution

The third proportional to 48,248 and 76,582 is: 121,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,248 : 76,582 = 76,582 : x
  2. Step 2: Convert to fraction form
    48,248/76,582 = 76,582/x
  3. Step 3: Cross multiply
    48,248x = 76,582 × 76,582
  4. Step 4: Simplify right side
    48,248x = 5,864,802,724
  5. Step 5: Solve for x
    x = 5,864,802,724/48,248
  6. Step 6: Final answer
    x = 121,555.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.