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Finding the Third Proportional to 9,701 and 14,833

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Solution

The third proportional to 9,701 and 14,833 is: 22,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 14,833 = 14,833 : x
  2. Step 2: Convert to fraction form
    9,701/14,833 = 14,833/x
  3. Step 3: Cross multiply
    9,701x = 14,833 × 14,833
  4. Step 4: Simplify right side
    9,701x = 220,017,889
  5. Step 5: Solve for x
    x = 220,017,889/9,701
  6. Step 6: Final answer
    x = 22,679.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.