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Finding the Third Proportional to 10,136 and 22,214

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Solution

The third proportional to 10,136 and 22,214 is: 48,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136 : 22,214 = 22,214 : x
  2. Step 2: Convert to fraction form
    10,136/22,214 = 22,214/x
  3. Step 3: Cross multiply
    10,136x = 22,214 × 22,214
  4. Step 4: Simplify right side
    10,136x = 493,461,796
  5. Step 5: Solve for x
    x = 493,461,796/10,136
  6. Step 6: Final answer
    x = 48,684.08

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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.