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Finding the Third Proportional to 1,300.57 and 2,808.98

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Solution

The third proportional to 1,300.57 and 2,808.98 is: 6,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.57 : 2,808.98 = 2,808.98 : x
  2. Step 2: Convert to fraction form
    1,300.57/2,808.98 = 2,808.98/x
  3. Step 3: Cross multiply
    1,300.57x = 2,808.98 × 2,808.98
  4. Step 4: Simplify right side
    1,300.57x = 7,890,393.22
  5. Step 5: Solve for x
    x = 7,890,393.22/1,300.57
  6. Step 6: Final answer
    x = 6,066.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.