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Finding the Third Proportional to 1,455.47 and 3,141.28

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Solution

The third proportional to 1,455.47 and 3,141.28 is: 6,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.47 : 3,141.28 = 3,141.28 : x
  2. Step 2: Convert to fraction form
    1,455.47/3,141.28 = 3,141.28/x
  3. Step 3: Cross multiply
    1,455.47x = 3,141.28 × 3,141.28
  4. Step 4: Simplify right side
    1,455.47x = 9,867,647.89
  5. Step 5: Solve for x
    x = 9,867,647.89/1,455.47
  6. Step 6: Final answer
    x = 6,779.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.