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Finding the Third Proportional to 1,848.50 and 4,391.50

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Solution

The third proportional to 1,848.50 and 4,391.50 is: 10,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.50 : 4,391.50 = 4,391.50 : x
  2. Step 2: Convert to fraction form
    1,848.50/4,391.50 = 4,391.50/x
  3. Step 3: Cross multiply
    1,848.50x = 4,391.50 × 4,391.50
  4. Step 4: Simplify right side
    1,848.50x = 19,285,272.25
  5. Step 5: Solve for x
    x = 19,285,272.25/1,848.50
  6. Step 6: Final answer
    x = 10,432.93

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.