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Finding the Third Proportional to 8,952 and 19,497

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Solution

The third proportional to 8,952 and 19,497 is: 42,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952 : 19,497 = 19,497 : x
  2. Step 2: Convert to fraction form
    8,952/19,497 = 19,497/x
  3. Step 3: Cross multiply
    8,952x = 19,497 × 19,497
  4. Step 4: Simplify right side
    8,952x = 380,133,009
  5. Step 5: Solve for x
    x = 380,133,009/8,952
  6. Step 6: Final answer
    x = 42,463.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.