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Finding the Third Proportional to 12,306 and 14,466

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Solution

The third proportional to 12,306 and 14,466 is: 17,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306 : 14,466 = 14,466 : x
  2. Step 2: Convert to fraction form
    12,306/14,466 = 14,466/x
  3. Step 3: Cross multiply
    12,306x = 14,466 × 14,466
  4. Step 4: Simplify right side
    12,306x = 209,265,156
  5. Step 5: Solve for x
    x = 209,265,156/12,306
  6. Step 6: Final answer
    x = 17,005.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.