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Finding the Third Proportional to 47,097.28 and 101,574

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Solution

The third proportional to 47,097.28 and 101,574 is: 219,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.28 : 101,574 = 101,574 : x
  2. Step 2: Convert to fraction form
    47,097.28/101,574 = 101,574/x
  3. Step 3: Cross multiply
    47,097.28x = 101,574 × 101,574
  4. Step 4: Simplify right side
    47,097.28x = 10,317,277,476
  5. Step 5: Solve for x
    x = 10,317,277,476/47,097.28
  6. Step 6: Final answer
    x = 219,063.12

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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.