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Finding the Third Proportional to 7,854 and 14,610

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Solution

The third proportional to 7,854 and 14,610 is: 27,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 14,610 = 14,610 : x
  2. Step 2: Convert to fraction form
    7,854/14,610 = 14,610/x
  3. Step 3: Cross multiply
    7,854x = 14,610 × 14,610
  4. Step 4: Simplify right side
    7,854x = 213,452,100
  5. Step 5: Solve for x
    x = 213,452,100/7,854
  6. Step 6: Final answer
    x = 27,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.