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Finding the Third Proportional to 6,568.59 and 9,921.23

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Solution

The third proportional to 6,568.59 and 9,921.23 is: 14,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.59 : 9,921.23 = 9,921.23 : x
  2. Step 2: Convert to fraction form
    6,568.59/9,921.23 = 9,921.23/x
  3. Step 3: Cross multiply
    6,568.59x = 9,921.23 × 9,921.23
  4. Step 4: Simplify right side
    6,568.59x = 98,430,891.52
  5. Step 5: Solve for x
    x = 98,430,891.52/6,568.59
  6. Step 6: Final answer
    x = 14,985.08

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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.