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Finding the Third Proportional to 6,727.50 and 14,522

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Solution

The third proportional to 6,727.50 and 14,522 is: 31,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.50 : 14,522 = 14,522 : x
  2. Step 2: Convert to fraction form
    6,727.50/14,522 = 14,522/x
  3. Step 3: Cross multiply
    6,727.50x = 14,522 × 14,522
  4. Step 4: Simplify right side
    6,727.50x = 210,888,484
  5. Step 5: Solve for x
    x = 210,888,484/6,727.50
  6. Step 6: Final answer
    x = 31,347.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.