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Finding the Third Proportional to 2,870.44 and 4,442.34

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Solution

The third proportional to 2,870.44 and 4,442.34 is: 6,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 4,442.34 = 4,442.34 : x
  2. Step 2: Convert to fraction form
    2,870.44/4,442.34 = 4,442.34/x
  3. Step 3: Cross multiply
    2,870.44x = 4,442.34 × 4,442.34
  4. Step 4: Simplify right side
    2,870.44x = 19,734,417.99
  5. Step 5: Solve for x
    x = 19,734,417.99/2,870.44
  6. Step 6: Final answer
    x = 6,875.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.