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Finding the Third Proportional to 10,509.75 and 24,711.75

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Solution

The third proportional to 10,509.75 and 24,711.75 is: 58,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 24,711.75 = 24,711.75 : x
  2. Step 2: Convert to fraction form
    10,509.75/24,711.75 = 24,711.75/x
  3. Step 3: Cross multiply
    10,509.75x = 24,711.75 × 24,711.75
  4. Step 4: Simplify right side
    10,509.75x = 610,670,588.06
  5. Step 5: Solve for x
    x = 610,670,588.06/10,509.75
  6. Step 6: Final answer
    x = 58,105.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.