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Finding the Third Proportional to 22,368 and 34,774

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Solution

The third proportional to 22,368 and 34,774 is: 54,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368 : 34,774 = 34,774 : x
  2. Step 2: Convert to fraction form
    22,368/34,774 = 34,774/x
  3. Step 3: Cross multiply
    22,368x = 34,774 × 34,774
  4. Step 4: Simplify right side
    22,368x = 1,209,231,076
  5. Step 5: Solve for x
    x = 1,209,231,076/22,368
  6. Step 6: Final answer
    x = 54,060.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.