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Finding the Third Proportional to 1,435.93 and 1,977.34

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Solution

The third proportional to 1,435.93 and 1,977.34 is: 2,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.93 : 1,977.34 = 1,977.34 : x
  2. Step 2: Convert to fraction form
    1,435.93/1,977.34 = 1,977.34/x
  3. Step 3: Cross multiply
    1,435.93x = 1,977.34 × 1,977.34
  4. Step 4: Simplify right side
    1,435.93x = 3,909,878.65
  5. Step 5: Solve for x
    x = 3,909,878.65/1,435.93
  6. Step 6: Final answer
    x = 2,722.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.