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Finding the Third Proportional to 45,362.25 and 48,764.25

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Solution

The third proportional to 45,362.25 and 48,764.25 is: 52,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,362.25 : 48,764.25 = 48,764.25 : x
  2. Step 2: Convert to fraction form
    45,362.25/48,764.25 = 48,764.25/x
  3. Step 3: Cross multiply
    45,362.25x = 48,764.25 × 48,764.25
  4. Step 4: Simplify right side
    45,362.25x = 2,377,952,078.06
  5. Step 5: Solve for x
    x = 2,377,952,078.06/45,362.25
  6. Step 6: Final answer
    x = 52,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.