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Finding the Third Proportional to 982.13 and 1,507.36

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Solution

The third proportional to 982.13 and 1,507.36 is: 2,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 1,507.36 = 1,507.36 : x
  2. Step 2: Convert to fraction form
    982.13/1,507.36 = 1,507.36/x
  3. Step 3: Cross multiply
    982.13x = 1,507.36 × 1,507.36
  4. Step 4: Simplify right side
    982.13x = 2,272,132.29
  5. Step 5: Solve for x
    x = 2,272,132.29/982.13
  6. Step 6: Final answer
    x = 2,313.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.