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Finding the Third Proportional to 21,157 and 45,499

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Solution

The third proportional to 21,157 and 45,499 is: 97,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157 : 45,499 = 45,499 : x
  2. Step 2: Convert to fraction form
    21,157/45,499 = 45,499/x
  3. Step 3: Cross multiply
    21,157x = 45,499 × 45,499
  4. Step 4: Simplify right side
    21,157x = 2,070,159,001
  5. Step 5: Solve for x
    x = 2,070,159,001/21,157
  6. Step 6: Final answer
    x = 97,847.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.