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Finding the Third Proportional to 10,869.75 and 25,065

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Solution

The third proportional to 10,869.75 and 25,065 is: 57,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.75 : 25,065 = 25,065 : x
  2. Step 2: Convert to fraction form
    10,869.75/25,065 = 25,065/x
  3. Step 3: Cross multiply
    10,869.75x = 25,065 × 25,065
  4. Step 4: Simplify right side
    10,869.75x = 628,254,225
  5. Step 5: Solve for x
    x = 628,254,225/10,869.75
  6. Step 6: Final answer
    x = 57,798.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.