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Finding the Third Proportional to 10,666.43 and 15,364.53

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Solution

The third proportional to 10,666.43 and 15,364.53 is: 22,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.43 : 15,364.53 = 15,364.53 : x
  2. Step 2: Convert to fraction form
    10,666.43/15,364.53 = 15,364.53/x
  3. Step 3: Cross multiply
    10,666.43x = 15,364.53 × 15,364.53
  4. Step 4: Simplify right side
    10,666.43x = 236,068,760.51
  5. Step 5: Solve for x
    x = 236,068,760.51/10,666.43
  6. Step 6: Final answer
    x = 22,131.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.