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Finding the Third Proportional to 45,384 and 63,480

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Solution

The third proportional to 45,384 and 63,480 is: 88,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384 : 63,480 = 63,480 : x
  2. Step 2: Convert to fraction form
    45,384/63,480 = 63,480/x
  3. Step 3: Cross multiply
    45,384x = 63,480 × 63,480
  4. Step 4: Simplify right side
    45,384x = 4,029,710,400
  5. Step 5: Solve for x
    x = 4,029,710,400/45,384
  6. Step 6: Final answer
    x = 88,791.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.