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Finding the Third Proportional to 10,716.68 and 23,508.35

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Solution

The third proportional to 10,716.68 and 23,508.35 is: 51,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.68 : 23,508.35 = 23,508.35 : x
  2. Step 2: Convert to fraction form
    10,716.68/23,508.35 = 23,508.35/x
  3. Step 3: Cross multiply
    10,716.68x = 23,508.35 × 23,508.35
  4. Step 4: Simplify right side
    10,716.68x = 552,642,593.19
  5. Step 5: Solve for x
    x = 552,642,593.19/10,716.68
  6. Step 6: Final answer
    x = 51,568.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.