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Finding the Third Proportional to 7,539.75 and 10,712.25

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Solution

The third proportional to 7,539.75 and 10,712.25 is: 15,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.75 : 10,712.25 = 10,712.25 : x
  2. Step 2: Convert to fraction form
    7,539.75/10,712.25 = 10,712.25/x
  3. Step 3: Cross multiply
    7,539.75x = 10,712.25 × 10,712.25
  4. Step 4: Simplify right side
    7,539.75x = 114,752,300.06
  5. Step 5: Solve for x
    x = 114,752,300.06/7,539.75
  6. Step 6: Final answer
    x = 15,219.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.