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Finding the Third Proportional to 1,051.88 and 1,557.28

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Solution

The third proportional to 1,051.88 and 1,557.28 is: 2,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.88 : 1,557.28 = 1,557.28 : x
  2. Step 2: Convert to fraction form
    1,051.88/1,557.28 = 1,557.28/x
  3. Step 3: Cross multiply
    1,051.88x = 1,557.28 × 1,557.28
  4. Step 4: Simplify right side
    1,051.88x = 2,425,124.89
  5. Step 5: Solve for x
    x = 2,425,124.89/1,051.88
  6. Step 6: Final answer
    x = 2,305.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.