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Finding the Third Proportional to 8,421 and 12,265.50

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Solution

The third proportional to 8,421 and 12,265.50 is: 17,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421 : 12,265.50 = 12,265.50 : x
  2. Step 2: Convert to fraction form
    8,421/12,265.50 = 12,265.50/x
  3. Step 3: Cross multiply
    8,421x = 12,265.50 × 12,265.50
  4. Step 4: Simplify right side
    8,421x = 150,442,490.25
  5. Step 5: Solve for x
    x = 150,442,490.25/8,421
  6. Step 6: Final answer
    x = 17,865.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.