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Finding the Third Proportional to 14,701 and 31,706

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Solution

The third proportional to 14,701 and 31,706 is: 68,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701 : 31,706 = 31,706 : x
  2. Step 2: Convert to fraction form
    14,701/31,706 = 31,706/x
  3. Step 3: Cross multiply
    14,701x = 31,706 × 31,706
  4. Step 4: Simplify right side
    14,701x = 1,005,270,436
  5. Step 5: Solve for x
    x = 1,005,270,436/14,701
  6. Step 6: Final answer
    x = 68,381.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.