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Finding the Third Proportional to 12,310 and 18,460

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Solution

The third proportional to 12,310 and 18,460 is: 27,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310 : 18,460 = 18,460 : x
  2. Step 2: Convert to fraction form
    12,310/18,460 = 18,460/x
  3. Step 3: Cross multiply
    12,310x = 18,460 × 18,460
  4. Step 4: Simplify right side
    12,310x = 340,771,600
  5. Step 5: Solve for x
    x = 340,771,600/12,310
  6. Step 6: Final answer
    x = 27,682.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.