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Finding the Third Proportional to 10,707 and 14,674.50

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Solution

The third proportional to 10,707 and 14,674.50 is: 20,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707 : 14,674.50 = 14,674.50 : x
  2. Step 2: Convert to fraction form
    10,707/14,674.50 = 14,674.50/x
  3. Step 3: Cross multiply
    10,707x = 14,674.50 × 14,674.50
  4. Step 4: Simplify right side
    10,707x = 215,340,950.25
  5. Step 5: Solve for x
    x = 215,340,950.25/10,707
  6. Step 6: Final answer
    x = 20,112.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.