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Finding the Third Proportional to 19,864 and 28,970

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Solution

The third proportional to 19,864 and 28,970 is: 42,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864 : 28,970 = 28,970 : x
  2. Step 2: Convert to fraction form
    19,864/28,970 = 28,970/x
  3. Step 3: Cross multiply
    19,864x = 28,970 × 28,970
  4. Step 4: Simplify right side
    19,864x = 839,260,900
  5. Step 5: Solve for x
    x = 839,260,900/19,864
  6. Step 6: Final answer
    x = 42,250.35

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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.