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Finding the Third Proportional to 1,562.06 and 3,430.88

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Solution

The third proportional to 1,562.06 and 3,430.88 is: 7,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.06 : 3,430.88 = 3,430.88 : x
  2. Step 2: Convert to fraction form
    1,562.06/3,430.88 = 3,430.88/x
  3. Step 3: Cross multiply
    1,562.06x = 3,430.88 × 3,430.88
  4. Step 4: Simplify right side
    1,562.06x = 11,770,903.27
  5. Step 5: Solve for x
    x = 11,770,903.27/1,562.06
  6. Step 6: Final answer
    x = 7,535.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.