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Finding the Third Proportional to 9,701 and 14,732

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Solution

The third proportional to 9,701 and 14,732 is: 22,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 14,732 = 14,732 : x
  2. Step 2: Convert to fraction form
    9,701/14,732 = 14,732/x
  3. Step 3: Cross multiply
    9,701x = 14,732 × 14,732
  4. Step 4: Simplify right side
    9,701x = 217,031,824
  5. Step 5: Solve for x
    x = 217,031,824/9,701
  6. Step 6: Final answer
    x = 22,372.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.