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Finding the Third Proportional to 38,900 and 61,928

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Solution

The third proportional to 38,900 and 61,928 is: 98,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 61,928 = 61,928 : x
  2. Step 2: Convert to fraction form
    38,900/61,928 = 61,928/x
  3. Step 3: Cross multiply
    38,900x = 61,928 × 61,928
  4. Step 4: Simplify right side
    38,900x = 3,835,077,184
  5. Step 5: Solve for x
    x = 3,835,077,184/38,900
  6. Step 6: Final answer
    x = 98,588.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.