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Finding the Third Proportional to 10,157 and 22,213

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Solution

The third proportional to 10,157 and 22,213 is: 48,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157 : 22,213 = 22,213 : x
  2. Step 2: Convert to fraction form
    10,157/22,213 = 22,213/x
  3. Step 3: Cross multiply
    10,157x = 22,213 × 22,213
  4. Step 4: Simplify right side
    10,157x = 493,417,369
  5. Step 5: Solve for x
    x = 493,417,369/10,157
  6. Step 6: Final answer
    x = 48,579.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.