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Finding the Third Proportional to 12,465.75 and 26,658.75

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Solution

The third proportional to 12,465.75 and 26,658.75 is: 57,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.75 : 26,658.75 = 26,658.75 : x
  2. Step 2: Convert to fraction form
    12,465.75/26,658.75 = 26,658.75/x
  3. Step 3: Cross multiply
    12,465.75x = 26,658.75 × 26,658.75
  4. Step 4: Simplify right side
    12,465.75x = 710,688,951.56
  5. Step 5: Solve for x
    x = 710,688,951.56/12,465.75
  6. Step 6: Final answer
    x = 57,011.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.