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Finding the Third Proportional to 51,281.44 and 77,606.44

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Solution

The third proportional to 51,281.44 and 77,606.44 is: 117,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281.44 : 77,606.44 = 77,606.44 : x
  2. Step 2: Convert to fraction form
    51,281.44/77,606.44 = 77,606.44/x
  3. Step 3: Cross multiply
    51,281.44x = 77,606.44 × 77,606.44
  4. Step 4: Simplify right side
    51,281.44x = 6,022,759,141.44
  5. Step 5: Solve for x
    x = 6,022,759,141.44/51,281.44
  6. Step 6: Final answer
    x = 117,445.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.