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Finding the Third Proportional to 2,878.98 and 4,583.30

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Solution

The third proportional to 2,878.98 and 4,583.30 is: 7,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.98 : 4,583.30 = 4,583.30 : x
  2. Step 2: Convert to fraction form
    2,878.98/4,583.30 = 4,583.30/x
  3. Step 3: Cross multiply
    2,878.98x = 4,583.30 × 4,583.30
  4. Step 4: Simplify right side
    2,878.98x = 21,006,663.95
  5. Step 5: Solve for x
    x = 21,006,663.95/2,878.98
  6. Step 6: Final answer
    x = 7,296.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.