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Finding the Third Proportional to 30,223 and 42,486

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Solution

The third proportional to 30,223 and 42,486 is: 59,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223 : 42,486 = 42,486 : x
  2. Step 2: Convert to fraction form
    30,223/42,486 = 42,486/x
  3. Step 3: Cross multiply
    30,223x = 42,486 × 42,486
  4. Step 4: Simplify right side
    30,223x = 1,805,060,196
  5. Step 5: Solve for x
    x = 1,805,060,196/30,223
  6. Step 6: Final answer
    x = 59,724.72

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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.