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Finding the Third Proportional to 4,903.88 and 7,894.13

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Solution

The third proportional to 4,903.88 and 7,894.13 is: 12,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.88 : 7,894.13 = 7,894.13 : x
  2. Step 2: Convert to fraction form
    4,903.88/7,894.13 = 7,894.13/x
  3. Step 3: Cross multiply
    4,903.88x = 7,894.13 × 7,894.13
  4. Step 4: Simplify right side
    4,903.88x = 62,317,209.52
  5. Step 5: Solve for x
    x = 62,317,209.52/4,903.88
  6. Step 6: Final answer
    x = 12,707.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.