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Finding the Third Proportional to 15,148 and 23,251

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Solution

The third proportional to 15,148 and 23,251 is: 35,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 23,251 = 23,251 : x
  2. Step 2: Convert to fraction form
    15,148/23,251 = 23,251/x
  3. Step 3: Cross multiply
    15,148x = 23,251 × 23,251
  4. Step 4: Simplify right side
    15,148x = 540,609,001
  5. Step 5: Solve for x
    x = 540,609,001/15,148
  6. Step 6: Final answer
    x = 35,688.47

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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.