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Finding the Third Proportional to 1,051.88 and 1,378.69

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Solution

The third proportional to 1,051.88 and 1,378.69 is: 1,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.88 : 1,378.69 = 1,378.69 : x
  2. Step 2: Convert to fraction form
    1,051.88/1,378.69 = 1,378.69/x
  3. Step 3: Cross multiply
    1,051.88x = 1,378.69 × 1,378.69
  4. Step 4: Simplify right side
    1,051.88x = 1,900,779.22
  5. Step 5: Solve for x
    x = 1,900,779.22/1,051.88
  6. Step 6: Final answer
    x = 1,807.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.