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Finding the Third Proportional to 7,188.75 and 15,710.13

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Solution

The third proportional to 7,188.75 and 15,710.13 is: 34,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.75 : 15,710.13 = 15,710.13 : x
  2. Step 2: Convert to fraction form
    7,188.75/15,710.13 = 15,710.13/x
  3. Step 3: Cross multiply
    7,188.75x = 15,710.13 × 15,710.13
  4. Step 4: Simplify right side
    7,188.75x = 246,808,027.52
  5. Step 5: Solve for x
    x = 246,808,027.52/7,188.75
  6. Step 6: Final answer
    x = 34,332.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.