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Finding the Third Proportional to 10,756.13 and 16,812.56

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Solution

The third proportional to 10,756.13 and 16,812.56 is: 26,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.13 : 16,812.56 = 16,812.56 : x
  2. Step 2: Convert to fraction form
    10,756.13/16,812.56 = 16,812.56/x
  3. Step 3: Cross multiply
    10,756.13x = 16,812.56 × 16,812.56
  4. Step 4: Simplify right side
    10,756.13x = 282,662,257.82
  5. Step 5: Solve for x
    x = 282,662,257.82/10,756.13
  6. Step 6: Final answer
    x = 26,279.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.