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Finding the Third Proportional to 8,410 and 12,370

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Solution

The third proportional to 8,410 and 12,370 is: 18,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 12,370 = 12,370 : x
  2. Step 2: Convert to fraction form
    8,410/12,370 = 12,370/x
  3. Step 3: Cross multiply
    8,410x = 12,370 × 12,370
  4. Step 4: Simplify right side
    8,410x = 153,016,900
  5. Step 5: Solve for x
    x = 153,016,900/8,410
  6. Step 6: Final answer
    x = 18,194.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.