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Finding the Third Proportional to 21,352 and 45,788

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Solution

The third proportional to 21,352 and 45,788 is: 98,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352 : 45,788 = 45,788 : x
  2. Step 2: Convert to fraction form
    21,352/45,788 = 45,788/x
  3. Step 3: Cross multiply
    21,352x = 45,788 × 45,788
  4. Step 4: Simplify right side
    21,352x = 2,096,540,944
  5. Step 5: Solve for x
    x = 2,096,540,944/21,352
  6. Step 6: Final answer
    x = 98,189.44

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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.