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Finding the Third Proportional to 31,968 and 45,216

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Solution

The third proportional to 31,968 and 45,216 is: 63,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 45,216 = 45,216 : x
  2. Step 2: Convert to fraction form
    31,968/45,216 = 45,216/x
  3. Step 3: Cross multiply
    31,968x = 45,216 × 45,216
  4. Step 4: Simplify right side
    31,968x = 2,044,486,656
  5. Step 5: Solve for x
    x = 2,044,486,656/31,968
  6. Step 6: Final answer
    x = 63,954.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.