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Finding the Third Proportional to 15,148 and 22,573

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Solution

The third proportional to 15,148 and 22,573 is: 33,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 22,573 = 22,573 : x
  2. Step 2: Convert to fraction form
    15,148/22,573 = 22,573/x
  3. Step 3: Cross multiply
    15,148x = 22,573 × 22,573
  4. Step 4: Simplify right side
    15,148x = 509,540,329
  5. Step 5: Solve for x
    x = 509,540,329/15,148
  6. Step 6: Final answer
    x = 33,637.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.