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Finding the Third Proportional to 39,352 and 62,338

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Solution

The third proportional to 39,352 and 62,338 is: 98,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,352 : 62,338 = 62,338 : x
  2. Step 2: Convert to fraction form
    39,352/62,338 = 62,338/x
  3. Step 3: Cross multiply
    39,352x = 62,338 × 62,338
  4. Step 4: Simplify right side
    39,352x = 3,886,026,244
  5. Step 5: Solve for x
    x = 3,886,026,244/39,352
  6. Step 6: Final answer
    x = 98,750.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.