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Finding the Third Proportional to 1,206.56 and 1,575.07

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Solution

The third proportional to 1,206.56 and 1,575.07 is: 2,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.56 : 1,575.07 = 1,575.07 : x
  2. Step 2: Convert to fraction form
    1,206.56/1,575.07 = 1,575.07/x
  3. Step 3: Cross multiply
    1,206.56x = 1,575.07 × 1,575.07
  4. Step 4: Simplify right side
    1,206.56x = 2,480,846.49
  5. Step 5: Solve for x
    x = 2,480,846.49/1,206.56
  6. Step 6: Final answer
    x = 2,056.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.