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Finding the Third Proportional to 7,445.75 and 15,917.50

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Solution

The third proportional to 7,445.75 and 15,917.50 is: 34,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.75 : 15,917.50 = 15,917.50 : x
  2. Step 2: Convert to fraction form
    7,445.75/15,917.50 = 15,917.50/x
  3. Step 3: Cross multiply
    7,445.75x = 15,917.50 × 15,917.50
  4. Step 4: Simplify right side
    7,445.75x = 253,366,806.25
  5. Step 5: Solve for x
    x = 253,366,806.25/7,445.75
  6. Step 6: Final answer
    x = 34,028.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.