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Finding the Third Proportional to 1,959.47 and 3,035.30

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Solution

The third proportional to 1,959.47 and 3,035.30 is: 4,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.47 : 3,035.30 = 3,035.30 : x
  2. Step 2: Convert to fraction form
    1,959.47/3,035.30 = 3,035.30/x
  3. Step 3: Cross multiply
    1,959.47x = 3,035.30 × 3,035.30
  4. Step 4: Simplify right side
    1,959.47x = 9,213,027.12
  5. Step 5: Solve for x
    x = 9,213,027.12/1,959.47
  6. Step 6: Final answer
    x = 4,701.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.