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Finding the Third Proportional to 10,759.13 and 23,595

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Solution

The third proportional to 10,759.13 and 23,595 is: 51,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.13 : 23,595 = 23,595 : x
  2. Step 2: Convert to fraction form
    10,759.13/23,595 = 23,595/x
  3. Step 3: Cross multiply
    10,759.13x = 23,595 × 23,595
  4. Step 4: Simplify right side
    10,759.13x = 556,724,025
  5. Step 5: Solve for x
    x = 556,724,025/10,759.13
  6. Step 6: Final answer
    x = 51,744.36

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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.