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Finding the Third Proportional to 9,102 and 19,644

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Solution

The third proportional to 9,102 and 19,644 is: 42,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102 : 19,644 = 19,644 : x
  2. Step 2: Convert to fraction form
    9,102/19,644 = 19,644/x
  3. Step 3: Cross multiply
    9,102x = 19,644 × 19,644
  4. Step 4: Simplify right side
    9,102x = 385,886,736
  5. Step 5: Solve for x
    x = 385,886,736/9,102
  6. Step 6: Final answer
    x = 42,395.82

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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.