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Finding the Third Proportional to 22,428 and 32,992

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Solution

The third proportional to 22,428 and 32,992 is: 48,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428 : 32,992 = 32,992 : x
  2. Step 2: Convert to fraction form
    22,428/32,992 = 32,992/x
  3. Step 3: Cross multiply
    22,428x = 32,992 × 32,992
  4. Step 4: Simplify right side
    22,428x = 1,088,472,064
  5. Step 5: Solve for x
    x = 1,088,472,064/22,428
  6. Step 6: Final answer
    x = 48,531.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.