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Finding the Third Proportional to 1,454.63 and 1,960.88

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Solution

The third proportional to 1,454.63 and 1,960.88 is: 2,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.63 : 1,960.88 = 1,960.88 : x
  2. Step 2: Convert to fraction form
    1,454.63/1,960.88 = 1,960.88/x
  3. Step 3: Cross multiply
    1,454.63x = 1,960.88 × 1,960.88
  4. Step 4: Simplify right side
    1,454.63x = 3,845,030.77
  5. Step 5: Solve for x
    x = 3,845,030.77/1,454.63
  6. Step 6: Final answer
    x = 2,643.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.