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Finding the Third Proportional to 10,759.50 and 15,811.03

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Solution

The third proportional to 10,759.50 and 15,811.03 is: 23,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.50 : 15,811.03 = 15,811.03 : x
  2. Step 2: Convert to fraction form
    10,759.50/15,811.03 = 15,811.03/x
  3. Step 3: Cross multiply
    10,759.50x = 15,811.03 × 15,811.03
  4. Step 4: Simplify right side
    10,759.50x = 249,988,709.19
  5. Step 5: Solve for x
    x = 249,988,709.19/10,759.50
  6. Step 6: Final answer
    x = 23,234.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.