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Finding the Third Proportional to 11,151 and 16,294.50

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Solution

The third proportional to 11,151 and 16,294.50 is: 23,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 16,294.50 = 16,294.50 : x
  2. Step 2: Convert to fraction form
    11,151/16,294.50 = 16,294.50/x
  3. Step 3: Cross multiply
    11,151x = 16,294.50 × 16,294.50
  4. Step 4: Simplify right side
    11,151x = 265,510,730.25
  5. Step 5: Solve for x
    x = 265,510,730.25/11,151
  6. Step 6: Final answer
    x = 23,810.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.