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Finding the Third Proportional to 1,817.58 and 2,714.98

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Solution

The third proportional to 1,817.58 and 2,714.98 is: 4,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.58 : 2,714.98 = 2,714.98 : x
  2. Step 2: Convert to fraction form
    1,817.58/2,714.98 = 2,714.98/x
  3. Step 3: Cross multiply
    1,817.58x = 2,714.98 × 2,714.98
  4. Step 4: Simplify right side
    1,817.58x = 7,371,097.73
  5. Step 5: Solve for x
    x = 7,371,097.73/1,817.58
  6. Step 6: Final answer
    x = 4,055.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.