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Finding the Third Proportional to 24,657 and 53,977

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Solution

The third proportional to 24,657 and 53,977 is: 118,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657 : 53,977 = 53,977 : x
  2. Step 2: Convert to fraction form
    24,657/53,977 = 53,977/x
  3. Step 3: Cross multiply
    24,657x = 53,977 × 53,977
  4. Step 4: Simplify right side
    24,657x = 2,913,516,529
  5. Step 5: Solve for x
    x = 2,913,516,529/24,657
  6. Step 6: Final answer
    x = 118,161.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.