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Finding the Third Proportional to 1,358.02 and 2,975.48

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Solution

The third proportional to 1,358.02 and 2,975.48 is: 6,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.02 : 2,975.48 = 2,975.48 : x
  2. Step 2: Convert to fraction form
    1,358.02/2,975.48 = 2,975.48/x
  3. Step 3: Cross multiply
    1,358.02x = 2,975.48 × 2,975.48
  4. Step 4: Simplify right side
    1,358.02x = 8,853,507.27
  5. Step 5: Solve for x
    x = 8,853,507.27/1,358.02
  6. Step 6: Final answer
    x = 6,519.44

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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.