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Finding the Third Proportional to 13,693.50 and 15,133.50

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Solution

The third proportional to 13,693.50 and 15,133.50 is: 16,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.50 : 15,133.50 = 15,133.50 : x
  2. Step 2: Convert to fraction form
    13,693.50/15,133.50 = 15,133.50/x
  3. Step 3: Cross multiply
    13,693.50x = 15,133.50 × 15,133.50
  4. Step 4: Simplify right side
    13,693.50x = 229,022,822.25
  5. Step 5: Solve for x
    x = 229,022,822.25/13,693.50
  6. Step 6: Final answer
    x = 16,724.93

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.