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Finding the Third Proportional to 9,568.13 and 12,506.91

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Solution

The third proportional to 9,568.13 and 12,506.91 is: 16,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 12,506.91 = 12,506.91 : x
  2. Step 2: Convert to fraction form
    9,568.13/12,506.91 = 12,506.91/x
  3. Step 3: Cross multiply
    9,568.13x = 12,506.91 × 12,506.91
  4. Step 4: Simplify right side
    9,568.13x = 156,422,703.95
  5. Step 5: Solve for x
    x = 156,422,703.95/9,568.13
  6. Step 6: Final answer
    x = 16,348.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.