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Finding the Third Proportional to 9,678.23 and 15,398.86

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Solution

The third proportional to 9,678.23 and 15,398.86 is: 24,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.23 : 15,398.86 = 15,398.86 : x
  2. Step 2: Convert to fraction form
    9,678.23/15,398.86 = 15,398.86/x
  3. Step 3: Cross multiply
    9,678.23x = 15,398.86 × 15,398.86
  4. Step 4: Simplify right side
    9,678.23x = 237,124,870.05
  5. Step 5: Solve for x
    x = 237,124,870.05/9,678.23
  6. Step 6: Final answer
    x = 24,500.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.