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Finding the Third Proportional to 10,752.75 and 23,646.94

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Solution

The third proportional to 10,752.75 and 23,646.94 is: 52,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.75 : 23,646.94 = 23,646.94 : x
  2. Step 2: Convert to fraction form
    10,752.75/23,646.94 = 23,646.94/x
  3. Step 3: Cross multiply
    10,752.75x = 23,646.94 × 23,646.94
  4. Step 4: Simplify right side
    10,752.75x = 559,177,653.13
  5. Step 5: Solve for x
    x = 559,177,653.13/10,752.75
  6. Step 6: Final answer
    x = 52,003.22

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Why These Related Problems?

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