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Finding the Third Proportional to 10,907.16 and 23,554.97

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Solution

The third proportional to 10,907.16 and 23,554.97 is: 50,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.16 : 23,554.97 = 23,554.97 : x
  2. Step 2: Convert to fraction form
    10,907.16/23,554.97 = 23,554.97/x
  3. Step 3: Cross multiply
    10,907.16x = 23,554.97 × 23,554.97
  4. Step 4: Simplify right side
    10,907.16x = 554,836,552.81
  5. Step 5: Solve for x
    x = 554,836,552.81/10,907.16
  6. Step 6: Final answer
    x = 50,869.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.