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Finding the Third Proportional to 12,456.75 and 29,307.75

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Solution

The third proportional to 12,456.75 and 29,307.75 is: 68,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.75 : 29,307.75 = 29,307.75 : x
  2. Step 2: Convert to fraction form
    12,456.75/29,307.75 = 29,307.75/x
  3. Step 3: Cross multiply
    12,456.75x = 29,307.75 × 29,307.75
  4. Step 4: Simplify right side
    12,456.75x = 858,944,210.06
  5. Step 5: Solve for x
    x = 858,944,210.06/12,456.75
  6. Step 6: Final answer
    x = 68,954.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.