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Finding the Third Proportional to 47,047 and 101,482

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Solution

The third proportional to 47,047 and 101,482 is: 218,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047 : 101,482 = 101,482 : x
  2. Step 2: Convert to fraction form
    47,047/101,482 = 101,482/x
  3. Step 3: Cross multiply
    47,047x = 101,482 × 101,482
  4. Step 4: Simplify right side
    47,047x = 10,298,596,324
  5. Step 5: Solve for x
    x = 10,298,596,324/47,047
  6. Step 6: Final answer
    x = 218,900.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.