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Finding the Third Proportional to 969.47 and 1,741.50

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Solution

The third proportional to 969.47 and 1,741.50 is: 3,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.47 : 1,741.50 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    969.47/1,741.50 = 1,741.50/x
  3. Step 3: Cross multiply
    969.47x = 1,741.50 × 1,741.50
  4. Step 4: Simplify right side
    969.47x = 3,032,822.25
  5. Step 5: Solve for x
    x = 3,032,822.25/969.47
  6. Step 6: Final answer
    x = 3,128.33

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.