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Finding the Third Proportional to 1,141.31 and 1,636.03

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Solution

The third proportional to 1,141.31 and 1,636.03 is: 2,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.31 : 1,636.03 = 1,636.03 : x
  2. Step 2: Convert to fraction form
    1,141.31/1,636.03 = 1,636.03/x
  3. Step 3: Cross multiply
    1,141.31x = 1,636.03 × 1,636.03
  4. Step 4: Simplify right side
    1,141.31x = 2,676,598.25
  5. Step 5: Solve for x
    x = 2,676,598.25/1,141.31
  6. Step 6: Final answer
    x = 2,345.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.