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Finding the Third Proportional to 10,957.81 and 15,505.22

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Solution

The third proportional to 10,957.81 and 15,505.22 is: 21,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.81 : 15,505.22 = 15,505.22 : x
  2. Step 2: Convert to fraction form
    10,957.81/15,505.22 = 15,505.22/x
  3. Step 3: Cross multiply
    10,957.81x = 15,505.22 × 15,505.22
  4. Step 4: Simplify right side
    10,957.81x = 240,411,808.49
  5. Step 5: Solve for x
    x = 240,411,808.49/10,957.81
  6. Step 6: Final answer
    x = 21,939.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.