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Finding the Third Proportional to 30,809.25 and 44,025.75

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Solution

The third proportional to 30,809.25 and 44,025.75 is: 62,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.25 : 44,025.75 = 44,025.75 : x
  2. Step 2: Convert to fraction form
    30,809.25/44,025.75 = 44,025.75/x
  3. Step 3: Cross multiply
    30,809.25x = 44,025.75 × 44,025.75
  4. Step 4: Simplify right side
    30,809.25x = 1,938,266,663.06
  5. Step 5: Solve for x
    x = 1,938,266,663.06/30,809.25
  6. Step 6: Final answer
    x = 62,911.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.