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Finding the Third Proportional to 10,977 and 24,038

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Solution

The third proportional to 10,977 and 24,038 is: 52,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 24,038 = 24,038 : x
  2. Step 2: Convert to fraction form
    10,977/24,038 = 24,038/x
  3. Step 3: Cross multiply
    10,977x = 24,038 × 24,038
  4. Step 4: Simplify right side
    10,977x = 577,825,444
  5. Step 5: Solve for x
    x = 577,825,444/10,977
  6. Step 6: Final answer
    x = 52,639.65

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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.