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Finding the Third Proportional to 999.84 and 1,141.03

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Solution

The third proportional to 999.84 and 1,141.03 is: 1,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.84 : 1,141.03 = 1,141.03 : x
  2. Step 2: Convert to fraction form
    999.84/1,141.03 = 1,141.03/x
  3. Step 3: Cross multiply
    999.84x = 1,141.03 × 1,141.03
  4. Step 4: Simplify right side
    999.84x = 1,301,952.31
  5. Step 5: Solve for x
    x = 1,301,952.31/999.84
  6. Step 6: Final answer
    x = 1,302.16

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.