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Finding the Third Proportional to 25,716 and 53,484

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Solution

The third proportional to 25,716 and 53,484 is: 111,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716 : 53,484 = 53,484 : x
  2. Step 2: Convert to fraction form
    25,716/53,484 = 53,484/x
  3. Step 3: Cross multiply
    25,716x = 53,484 × 53,484
  4. Step 4: Simplify right side
    25,716x = 2,860,538,256
  5. Step 5: Solve for x
    x = 2,860,538,256/25,716
  6. Step 6: Final answer
    x = 111,235.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.