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Finding the Third Proportional to 21,148 and 30,206

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Solution

The third proportional to 21,148 and 30,206 is: 43,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148 : 30,206 = 30,206 : x
  2. Step 2: Convert to fraction form
    21,148/30,206 = 30,206/x
  3. Step 3: Cross multiply
    21,148x = 30,206 × 30,206
  4. Step 4: Simplify right side
    21,148x = 912,402,436
  5. Step 5: Solve for x
    x = 912,402,436/21,148
  6. Step 6: Final answer
    x = 43,143.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.