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Finding the Third Proportional to 10,267.88 and 14,672.81

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Solution

The third proportional to 10,267.88 and 14,672.81 is: 20,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.88 : 14,672.81 = 14,672.81 : x
  2. Step 2: Convert to fraction form
    10,267.88/14,672.81 = 14,672.81/x
  3. Step 3: Cross multiply
    10,267.88x = 14,672.81 × 14,672.81
  4. Step 4: Simplify right side
    10,267.88x = 215,291,426.66
  5. Step 5: Solve for x
    x = 215,291,426.66/10,267.88
  6. Step 6: Final answer
    x = 20,967.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.