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Finding the Third Proportional to 48,276 and 63,630

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Solution

The third proportional to 48,276 and 63,630 is: 83,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,276 : 63,630 = 63,630 : x
  2. Step 2: Convert to fraction form
    48,276/63,630 = 63,630/x
  3. Step 3: Cross multiply
    48,276x = 63,630 × 63,630
  4. Step 4: Simplify right side
    48,276x = 4,048,776,900
  5. Step 5: Solve for x
    x = 4,048,776,900/48,276
  6. Step 6: Final answer
    x = 83,867.28

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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.