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Finding the Third Proportional to 11,160 and 17,293.50

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Solution

The third proportional to 11,160 and 17,293.50 is: 26,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160 : 17,293.50 = 17,293.50 : x
  2. Step 2: Convert to fraction form
    11,160/17,293.50 = 17,293.50/x
  3. Step 3: Cross multiply
    11,160x = 17,293.50 × 17,293.50
  4. Step 4: Simplify right side
    11,160x = 299,065,142.25
  5. Step 5: Solve for x
    x = 299,065,142.25/11,160
  6. Step 6: Final answer
    x = 26,797.95

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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.