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Finding the Third Proportional to 7,095.75 and 15,274.13

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Solution

The third proportional to 7,095.75 and 15,274.13 is: 32,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.75 : 15,274.13 = 15,274.13 : x
  2. Step 2: Convert to fraction form
    7,095.75/15,274.13 = 15,274.13/x
  3. Step 3: Cross multiply
    7,095.75x = 15,274.13 × 15,274.13
  4. Step 4: Simplify right side
    7,095.75x = 233,298,894.52
  5. Step 5: Solve for x
    x = 233,298,894.52/7,095.75
  6. Step 6: Final answer
    x = 32,878.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.