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Finding the Third Proportional to 15,410 and 22,435

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Solution

The third proportional to 15,410 and 22,435 is: 32,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410 : 22,435 = 22,435 : x
  2. Step 2: Convert to fraction form
    15,410/22,435 = 22,435/x
  3. Step 3: Cross multiply
    15,410x = 22,435 × 22,435
  4. Step 4: Simplify right side
    15,410x = 503,329,225
  5. Step 5: Solve for x
    x = 503,329,225/15,410
  6. Step 6: Final answer
    x = 32,662.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.