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Finding the Third Proportional to 21,148 and 45,224

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Solution

The third proportional to 21,148 and 45,224 is: 96,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148 : 45,224 = 45,224 : x
  2. Step 2: Convert to fraction form
    21,148/45,224 = 45,224/x
  3. Step 3: Cross multiply
    21,148x = 45,224 × 45,224
  4. Step 4: Simplify right side
    21,148x = 2,045,210,176
  5. Step 5: Solve for x
    x = 2,045,210,176/21,148
  6. Step 6: Final answer
    x = 96,709.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.