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Finding the Third Proportional to 10,667.32 and 23,384.95

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Solution

The third proportional to 10,667.32 and 23,384.95 is: 51,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.32 : 23,384.95 = 23,384.95 : x
  2. Step 2: Convert to fraction form
    10,667.32/23,384.95 = 23,384.95/x
  3. Step 3: Cross multiply
    10,667.32x = 23,384.95 × 23,384.95
  4. Step 4: Simplify right side
    10,667.32x = 546,856,032.66
  5. Step 5: Solve for x
    x = 546,856,032.66/10,667.32
  6. Step 6: Final answer
    x = 51,264.61

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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.