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Finding the Third Proportional to 18,896 and 24,816

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Solution

The third proportional to 18,896 and 24,816 is: 32,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896 : 24,816 = 24,816 : x
  2. Step 2: Convert to fraction form
    18,896/24,816 = 24,816/x
  3. Step 3: Cross multiply
    18,896x = 24,816 × 24,816
  4. Step 4: Simplify right side
    18,896x = 615,833,856
  5. Step 5: Solve for x
    x = 615,833,856/18,896
  6. Step 6: Final answer
    x = 32,590.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.