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Finding the Third Proportional to 24,794 and 38,435

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Solution

The third proportional to 24,794 and 38,435 is: 59,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794 : 38,435 = 38,435 : x
  2. Step 2: Convert to fraction form
    24,794/38,435 = 38,435/x
  3. Step 3: Cross multiply
    24,794x = 38,435 × 38,435
  4. Step 4: Simplify right side
    24,794x = 1,477,249,225
  5. Step 5: Solve for x
    x = 1,477,249,225/24,794
  6. Step 6: Final answer
    x = 59,580.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.