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Finding the Third Proportional to 25,036 and 52,948

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Solution

The third proportional to 25,036 and 52,948 is: 111,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,036 : 52,948 = 52,948 : x
  2. Step 2: Convert to fraction form
    25,036/52,948 = 52,948/x
  3. Step 3: Cross multiply
    25,036x = 52,948 × 52,948
  4. Step 4: Simplify right side
    25,036x = 2,803,490,704
  5. Step 5: Solve for x
    x = 2,803,490,704/25,036
  6. Step 6: Final answer
    x = 111,978.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.