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Finding the Third Proportional to 21,931.17 and 47,507.34

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Solution

The third proportional to 21,931.17 and 47,507.34 is: 102,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931.17 : 47,507.34 = 47,507.34 : x
  2. Step 2: Convert to fraction form
    21,931.17/47,507.34 = 47,507.34/x
  3. Step 3: Cross multiply
    21,931.17x = 47,507.34 × 47,507.34
  4. Step 4: Simplify right side
    21,931.17x = 2,256,947,710.18
  5. Step 5: Solve for x
    x = 2,256,947,710.18/21,931.17
  6. Step 6: Final answer
    x = 102,910.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.