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Finding the Third Proportional to 23,070 and 30,292

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Solution

The third proportional to 23,070 and 30,292 is: 39,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070 : 30,292 = 30,292 : x
  2. Step 2: Convert to fraction form
    23,070/30,292 = 30,292/x
  3. Step 3: Cross multiply
    23,070x = 30,292 × 30,292
  4. Step 4: Simplify right side
    23,070x = 917,605,264
  5. Step 5: Solve for x
    x = 917,605,264/23,070
  6. Step 6: Final answer
    x = 39,774.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.