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Finding the Third Proportional to 21,440 and 45,886

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Solution

The third proportional to 21,440 and 45,886 is: 98,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,440 : 45,886 = 45,886 : x
  2. Step 2: Convert to fraction form
    21,440/45,886 = 45,886/x
  3. Step 3: Cross multiply
    21,440x = 45,886 × 45,886
  4. Step 4: Simplify right side
    21,440x = 2,105,524,996
  5. Step 5: Solve for x
    x = 2,105,524,996/21,440
  6. Step 6: Final answer
    x = 98,205.46

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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.