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Finding the Third Proportional to 15,363 and 32,271

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Solution

The third proportional to 15,363 and 32,271 is: 67,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363 : 32,271 = 32,271 : x
  2. Step 2: Convert to fraction form
    15,363/32,271 = 32,271/x
  3. Step 3: Cross multiply
    15,363x = 32,271 × 32,271
  4. Step 4: Simplify right side
    15,363x = 1,041,417,441
  5. Step 5: Solve for x
    x = 1,041,417,441/15,363
  6. Step 6: Final answer
    x = 67,787.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.