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Finding the Third Proportional to 10,948 and 23,595

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Solution

The third proportional to 10,948 and 23,595 is: 50,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 23,595 = 23,595 : x
  2. Step 2: Convert to fraction form
    10,948/23,595 = 23,595/x
  3. Step 3: Cross multiply
    10,948x = 23,595 × 23,595
  4. Step 4: Simplify right side
    10,948x = 556,724,025
  5. Step 5: Solve for x
    x = 556,724,025/10,948
  6. Step 6: Final answer
    x = 50,851.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.