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Finding the Third Proportional to 513.42 and 1,061.02

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Solution

The third proportional to 513.42 and 1,061.02 is: 2,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 1,061.02 = 1,061.02 : x
  2. Step 2: Convert to fraction form
    513.42/1,061.02 = 1,061.02/x
  3. Step 3: Cross multiply
    513.42x = 1,061.02 × 1,061.02
  4. Step 4: Simplify right side
    513.42x = 1,125,754.16
  5. Step 5: Solve for x
    x = 1,125,754.16/513.42
  6. Step 6: Final answer
    x = 2,192.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.