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Finding the Third Proportional to 1,435.85 and 2,032.59

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Solution

The third proportional to 1,435.85 and 2,032.59 is: 2,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.85 : 2,032.59 = 2,032.59 : x
  2. Step 2: Convert to fraction form
    1,435.85/2,032.59 = 2,032.59/x
  3. Step 3: Cross multiply
    1,435.85x = 2,032.59 × 2,032.59
  4. Step 4: Simplify right side
    1,435.85x = 4,131,437.35
  5. Step 5: Solve for x
    x = 4,131,437.35/1,435.85
  6. Step 6: Final answer
    x = 2,877.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.