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Finding the Third Proportional to 1,870.59 and 4,280.34

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Solution

The third proportional to 1,870.59 and 4,280.34 is: 9,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.59 : 4,280.34 = 4,280.34 : x
  2. Step 2: Convert to fraction form
    1,870.59/4,280.34 = 4,280.34/x
  3. Step 3: Cross multiply
    1,870.59x = 4,280.34 × 4,280.34
  4. Step 4: Simplify right side
    1,870.59x = 18,321,342.62
  5. Step 5: Solve for x
    x = 18,321,342.62/1,870.59
  6. Step 6: Final answer
    x = 9,794.40

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.