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Finding the Third Proportional to 10,727.88 and 16,030.94

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Solution

The third proportional to 10,727.88 and 16,030.94 is: 23,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.88 : 16,030.94 = 16,030.94 : x
  2. Step 2: Convert to fraction form
    10,727.88/16,030.94 = 16,030.94/x
  3. Step 3: Cross multiply
    10,727.88x = 16,030.94 × 16,030.94
  4. Step 4: Simplify right side
    10,727.88x = 256,990,957.13
  5. Step 5: Solve for x
    x = 256,990,957.13/10,727.88
  6. Step 6: Final answer
    x = 23,955.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.