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Finding the Third Proportional to 9,737 and 21,036

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Solution

The third proportional to 9,737 and 21,036 is: 45,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737 : 21,036 = 21,036 : x
  2. Step 2: Convert to fraction form
    9,737/21,036 = 21,036/x
  3. Step 3: Cross multiply
    9,737x = 21,036 × 21,036
  4. Step 4: Simplify right side
    9,737x = 442,513,296
  5. Step 5: Solve for x
    x = 442,513,296/9,737
  6. Step 6: Final answer
    x = 45,446.57

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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.