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Finding the Third Proportional to 6,409.97 and 9,700.55

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Solution

The third proportional to 6,409.97 and 9,700.55 is: 14,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.97 : 9,700.55 = 9,700.55 : x
  2. Step 2: Convert to fraction form
    6,409.97/9,700.55 = 9,700.55/x
  3. Step 3: Cross multiply
    6,409.97x = 9,700.55 × 9,700.55
  4. Step 4: Simplify right side
    6,409.97x = 94,100,609.67
  5. Step 5: Solve for x
    x = 94,100,609.67/6,409.97
  6. Step 6: Final answer
    x = 14,680.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.