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Finding the Third Proportional to 48,278 and 63,633

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Solution

The third proportional to 48,278 and 63,633 is: 83,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,278 : 63,633 = 63,633 : x
  2. Step 2: Convert to fraction form
    48,278/63,633 = 63,633/x
  3. Step 3: Cross multiply
    48,278x = 63,633 × 63,633
  4. Step 4: Simplify right side
    48,278x = 4,049,158,689
  5. Step 5: Solve for x
    x = 4,049,158,689/48,278
  6. Step 6: Final answer
    x = 83,871.72

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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.