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Finding the Third Proportional to 7,593.75 and 15,792.47

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Solution

The third proportional to 7,593.75 and 15,792.47 is: 32,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.75 : 15,792.47 = 15,792.47 : x
  2. Step 2: Convert to fraction form
    7,593.75/15,792.47 = 15,792.47/x
  3. Step 3: Cross multiply
    7,593.75x = 15,792.47 × 15,792.47
  4. Step 4: Simplify right side
    7,593.75x = 249,402,069.22
  5. Step 5: Solve for x
    x = 249,402,069.22/7,593.75
  6. Step 6: Final answer
    x = 32,843.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.