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Finding the Third Proportional to 42,972 and 63,648

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Solution

The third proportional to 42,972 and 63,648 is: 94,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,972 : 63,648 = 63,648 : x
  2. Step 2: Convert to fraction form
    42,972/63,648 = 63,648/x
  3. Step 3: Cross multiply
    42,972x = 63,648 × 63,648
  4. Step 4: Simplify right side
    42,972x = 4,051,067,904
  5. Step 5: Solve for x
    x = 4,051,067,904/42,972
  6. Step 6: Final answer
    x = 94,272.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.