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Finding the Third Proportional to 42,358 and 62,305

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Solution

The third proportional to 42,358 and 62,305 is: 91,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,358 : 62,305 = 62,305 : x
  2. Step 2: Convert to fraction form
    42,358/62,305 = 62,305/x
  3. Step 3: Cross multiply
    42,358x = 62,305 × 62,305
  4. Step 4: Simplify right side
    42,358x = 3,881,913,025
  5. Step 5: Solve for x
    x = 3,881,913,025/42,358
  6. Step 6: Final answer
    x = 91,645.33

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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.