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Finding the Third Proportional to 10,526 and 23,138

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Solution

The third proportional to 10,526 and 23,138 is: 50,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526 : 23,138 = 23,138 : x
  2. Step 2: Convert to fraction form
    10,526/23,138 = 23,138/x
  3. Step 3: Cross multiply
    10,526x = 23,138 × 23,138
  4. Step 4: Simplify right side
    10,526x = 535,367,044
  5. Step 5: Solve for x
    x = 535,367,044/10,526
  6. Step 6: Final answer
    x = 50,861.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.