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Finding the Third Proportional to 26,691 and 61,783

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Solution

The third proportional to 26,691 and 61,783 is: 143,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691 : 61,783 = 61,783 : x
  2. Step 2: Convert to fraction form
    26,691/61,783 = 61,783/x
  3. Step 3: Cross multiply
    26,691x = 61,783 × 61,783
  4. Step 4: Simplify right side
    26,691x = 3,817,139,089
  5. Step 5: Solve for x
    x = 3,817,139,089/26,691
  6. Step 6: Final answer
    x = 143,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.