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Finding the Third Proportional to 10,802 and 23,716

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Solution

The third proportional to 10,802 and 23,716 is: 52,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802 : 23,716 = 23,716 : x
  2. Step 2: Convert to fraction form
    10,802/23,716 = 23,716/x
  3. Step 3: Cross multiply
    10,802x = 23,716 × 23,716
  4. Step 4: Simplify right side
    10,802x = 562,448,656
  5. Step 5: Solve for x
    x = 562,448,656/10,802
  6. Step 6: Final answer
    x = 52,068.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.