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Finding the Third Proportional to 21,795.96 and 47,077.45

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Solution

The third proportional to 21,795.96 and 47,077.45 is: 101,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,795.96 : 47,077.45 = 47,077.45 : x
  2. Step 2: Convert to fraction form
    21,795.96/47,077.45 = 47,077.45/x
  3. Step 3: Cross multiply
    21,795.96x = 47,077.45 × 47,077.45
  4. Step 4: Simplify right side
    21,795.96x = 2,216,286,592.74
  5. Step 5: Solve for x
    x = 2,216,286,592.74/21,795.96
  6. Step 6: Final answer
    x = 101,683.36

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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.