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Finding the Third Proportional to 47,482.88 and 101,322

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Solution

The third proportional to 47,482.88 and 101,322 is: 216,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482.88 : 101,322 = 101,322 : x
  2. Step 2: Convert to fraction form
    47,482.88/101,322 = 101,322/x
  3. Step 3: Cross multiply
    47,482.88x = 101,322 × 101,322
  4. Step 4: Simplify right side
    47,482.88x = 10,266,147,684
  5. Step 5: Solve for x
    x = 10,266,147,684/47,482.88
  6. Step 6: Final answer
    x = 216,207.37

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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.