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Finding the Third Proportional to 26,657.25 and 61,712.25

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Solution

The third proportional to 26,657.25 and 61,712.25 is: 142,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,657.25 : 61,712.25 = 61,712.25 : x
  2. Step 2: Convert to fraction form
    26,657.25/61,712.25 = 61,712.25/x
  3. Step 3: Cross multiply
    26,657.25x = 61,712.25 × 61,712.25
  4. Step 4: Simplify right side
    26,657.25x = 3,808,401,800.06
  5. Step 5: Solve for x
    x = 3,808,401,800.06/26,657.25
  6. Step 6: Final answer
    x = 142,865.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.