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Finding the Third Proportional to 7,282 and 15,601.75

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Solution

The third proportional to 7,282 and 15,601.75 is: 33,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282 : 15,601.75 = 15,601.75 : x
  2. Step 2: Convert to fraction form
    7,282/15,601.75 = 15,601.75/x
  3. Step 3: Cross multiply
    7,282x = 15,601.75 × 15,601.75
  4. Step 4: Simplify right side
    7,282x = 243,414,603.06
  5. Step 5: Solve for x
    x = 243,414,603.06/7,282
  6. Step 6: Final answer
    x = 33,426.89

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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.