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Finding the Third Proportional to 38,563 and 61,111

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Solution

The third proportional to 38,563 and 61,111 is: 96,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563 : 61,111 = 61,111 : x
  2. Step 2: Convert to fraction form
    38,563/61,111 = 61,111/x
  3. Step 3: Cross multiply
    38,563x = 61,111 × 61,111
  4. Step 4: Simplify right side
    38,563x = 3,734,554,321
  5. Step 5: Solve for x
    x = 3,734,554,321/38,563
  6. Step 6: Final answer
    x = 96,842.94

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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.