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Finding the Third Proportional to 42,348 and 58,146

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Solution

The third proportional to 42,348 and 58,146 is: 79,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,348 : 58,146 = 58,146 : x
  2. Step 2: Convert to fraction form
    42,348/58,146 = 58,146/x
  3. Step 3: Cross multiply
    42,348x = 58,146 × 58,146
  4. Step 4: Simplify right side
    42,348x = 3,380,957,316
  5. Step 5: Solve for x
    x = 3,380,957,316/42,348
  6. Step 6: Final answer
    x = 79,837.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.