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Finding the Third Proportional to 19,732 and 28,864

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Solution

The third proportional to 19,732 and 28,864 is: 42,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 28,864 = 28,864 : x
  2. Step 2: Convert to fraction form
    19,732/28,864 = 28,864/x
  3. Step 3: Cross multiply
    19,732x = 28,864 × 28,864
  4. Step 4: Simplify right side
    19,732x = 833,130,496
  5. Step 5: Solve for x
    x = 833,130,496/19,732
  6. Step 6: Final answer
    x = 42,222.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.