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Finding the Third Proportional to 11,264.06 and 17,432.72

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Solution

The third proportional to 11,264.06 and 17,432.72 is: 26,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.06 : 17,432.72 = 17,432.72 : x
  2. Step 2: Convert to fraction form
    11,264.06/17,432.72 = 17,432.72/x
  3. Step 3: Cross multiply
    11,264.06x = 17,432.72 × 17,432.72
  4. Step 4: Simplify right side
    11,264.06x = 303,899,683.02
  5. Step 5: Solve for x
    x = 303,899,683.02/11,264.06
  6. Step 6: Final answer
    x = 26,979.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.