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Finding the Third Proportional to 1,355.13 and 2,969.75

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Solution

The third proportional to 1,355.13 and 2,969.75 is: 6,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.13 : 2,969.75 = 2,969.75 : x
  2. Step 2: Convert to fraction form
    1,355.13/2,969.75 = 2,969.75/x
  3. Step 3: Cross multiply
    1,355.13x = 2,969.75 × 2,969.75
  4. Step 4: Simplify right side
    1,355.13x = 8,819,412.16
  5. Step 5: Solve for x
    x = 8,819,412.16/1,355.13
  6. Step 6: Final answer
    x = 6,508.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.