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Finding the Third Proportional to 30,487 and 46,271

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Solution

The third proportional to 30,487 and 46,271 is: 70,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487 : 46,271 = 46,271 : x
  2. Step 2: Convert to fraction form
    30,487/46,271 = 46,271/x
  3. Step 3: Cross multiply
    30,487x = 46,271 × 46,271
  4. Step 4: Simplify right side
    30,487x = 2,141,005,441
  5. Step 5: Solve for x
    x = 2,141,005,441/30,487
  6. Step 6: Final answer
    x = 70,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.