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Finding the Third Proportional to 482.13 and 1,024.81

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Solution

The third proportional to 482.13 and 1,024.81 is: 2,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.13 : 1,024.81 = 1,024.81 : x
  2. Step 2: Convert to fraction form
    482.13/1,024.81 = 1,024.81/x
  3. Step 3: Cross multiply
    482.13x = 1,024.81 × 1,024.81
  4. Step 4: Simplify right side
    482.13x = 1,050,240.66
  5. Step 5: Solve for x
    x = 1,050,240.66/482.13
  6. Step 6: Final answer
    x = 2,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.