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Finding the Third Proportional to 15,628 and 24,205

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Solution

The third proportional to 15,628 and 24,205 is: 37,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628 : 24,205 = 24,205 : x
  2. Step 2: Convert to fraction form
    15,628/24,205 = 24,205/x
  3. Step 3: Cross multiply
    15,628x = 24,205 × 24,205
  4. Step 4: Simplify right side
    15,628x = 585,882,025
  5. Step 5: Solve for x
    x = 585,882,025/15,628
  6. Step 6: Final answer
    x = 37,489.25

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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.