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Finding the Third Proportional to 15,114 and 22,210

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Solution

The third proportional to 15,114 and 22,210 is: 32,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 22,210 = 22,210 : x
  2. Step 2: Convert to fraction form
    15,114/22,210 = 22,210/x
  3. Step 3: Cross multiply
    15,114x = 22,210 × 22,210
  4. Step 4: Simplify right side
    15,114x = 493,284,100
  5. Step 5: Solve for x
    x = 493,284,100/15,114
  6. Step 6: Final answer
    x = 32,637.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.