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Finding the Third Proportional to 4,956.84 and 7,686.84

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Solution

The third proportional to 4,956.84 and 7,686.84 is: 11,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.84 : 7,686.84 = 7,686.84 : x
  2. Step 2: Convert to fraction form
    4,956.84/7,686.84 = 7,686.84/x
  3. Step 3: Cross multiply
    4,956.84x = 7,686.84 × 7,686.84
  4. Step 4: Simplify right side
    4,956.84x = 59,087,566.84
  5. Step 5: Solve for x
    x = 59,087,566.84/4,956.84
  6. Step 6: Final answer
    x = 11,920.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.