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Finding the Third Proportional to 48,150 and 63,905

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Solution

The third proportional to 48,150 and 63,905 is: 84,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,150 : 63,905 = 63,905 : x
  2. Step 2: Convert to fraction form
    48,150/63,905 = 63,905/x
  3. Step 3: Cross multiply
    48,150x = 63,905 × 63,905
  4. Step 4: Simplify right side
    48,150x = 4,083,849,025
  5. Step 5: Solve for x
    x = 4,083,849,025/48,150
  6. Step 6: Final answer
    x = 84,815.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.