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Finding the Third Proportional to 9,568.13 and 14,554.69

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Solution

The third proportional to 9,568.13 and 14,554.69 is: 22,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 14,554.69 = 14,554.69 : x
  2. Step 2: Convert to fraction form
    9,568.13/14,554.69 = 14,554.69/x
  3. Step 3: Cross multiply
    9,568.13x = 14,554.69 × 14,554.69
  4. Step 4: Simplify right side
    9,568.13x = 211,838,928.22
  5. Step 5: Solve for x
    x = 211,838,928.22/9,568.13
  6. Step 6: Final answer
    x = 22,140.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.