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Finding the Third Proportional to 1,330.01 and 2,899.23

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Solution

The third proportional to 1,330.01 and 2,899.23 is: 6,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.01 : 2,899.23 = 2,899.23 : x
  2. Step 2: Convert to fraction form
    1,330.01/2,899.23 = 2,899.23/x
  3. Step 3: Cross multiply
    1,330.01x = 2,899.23 × 2,899.23
  4. Step 4: Simplify right side
    1,330.01x = 8,405,537.31
  5. Step 5: Solve for x
    x = 8,405,537.31/1,330.01
  6. Step 6: Final answer
    x = 6,319.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.