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Finding the Third Proportional to 15,490 and 32,977

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Solution

The third proportional to 15,490 and 32,977 is: 70,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490 : 32,977 = 32,977 : x
  2. Step 2: Convert to fraction form
    15,490/32,977 = 32,977/x
  3. Step 3: Cross multiply
    15,490x = 32,977 × 32,977
  4. Step 4: Simplify right side
    15,490x = 1,087,482,529
  5. Step 5: Solve for x
    x = 1,087,482,529/15,490
  6. Step 6: Final answer
    x = 70,205.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.