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Finding the Third Proportional to 10,595.13 and 15,568.63

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Solution

The third proportional to 10,595.13 and 15,568.63 is: 22,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.13 : 15,568.63 = 15,568.63 : x
  2. Step 2: Convert to fraction form
    10,595.13/15,568.63 = 15,568.63/x
  3. Step 3: Cross multiply
    10,595.13x = 15,568.63 × 15,568.63
  4. Step 4: Simplify right side
    10,595.13x = 242,382,084.39
  5. Step 5: Solve for x
    x = 242,382,084.39/10,595.13
  6. Step 6: Final answer
    x = 22,876.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.