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Finding the Third Proportional to 10,057 and 14,915

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Solution

The third proportional to 10,057 and 14,915 is: 22,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057 : 14,915 = 14,915 : x
  2. Step 2: Convert to fraction form
    10,057/14,915 = 14,915/x
  3. Step 3: Cross multiply
    10,057x = 14,915 × 14,915
  4. Step 4: Simplify right side
    10,057x = 222,457,225
  5. Step 5: Solve for x
    x = 222,457,225/10,057
  6. Step 6: Final answer
    x = 22,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.