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Finding the Third Proportional to 1,159 and 2,714.50

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Solution

The third proportional to 1,159 and 2,714.50 is: 6,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159 : 2,714.50 = 2,714.50 : x
  2. Step 2: Convert to fraction form
    1,159/2,714.50 = 2,714.50/x
  3. Step 3: Cross multiply
    1,159x = 2,714.50 × 2,714.50
  4. Step 4: Simplify right side
    1,159x = 7,368,510.25
  5. Step 5: Solve for x
    x = 7,368,510.25/1,159
  6. Step 6: Final answer
    x = 6,357.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.