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Finding the Third Proportional to 15,788 and 24,222

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Solution

The third proportional to 15,788 and 24,222 is: 37,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788 : 24,222 = 24,222 : x
  2. Step 2: Convert to fraction form
    15,788/24,222 = 24,222/x
  3. Step 3: Cross multiply
    15,788x = 24,222 × 24,222
  4. Step 4: Simplify right side
    15,788x = 586,705,284
  5. Step 5: Solve for x
    x = 586,705,284/15,788
  6. Step 6: Final answer
    x = 37,161.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.