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Finding the Third Proportional to 12,265.50 and 26,475

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Solution

The third proportional to 12,265.50 and 26,475 is: 57,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.50 : 26,475 = 26,475 : x
  2. Step 2: Convert to fraction form
    12,265.50/26,475 = 26,475/x
  3. Step 3: Cross multiply
    12,265.50x = 26,475 × 26,475
  4. Step 4: Simplify right side
    12,265.50x = 700,925,625
  5. Step 5: Solve for x
    x = 700,925,625/12,265.50
  6. Step 6: Final answer
    x = 57,146.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.