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Finding the Third Proportional to 30,177.75 and 44,341.75

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Solution

The third proportional to 30,177.75 and 44,341.75 is: 65,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.75 : 44,341.75 = 44,341.75 : x
  2. Step 2: Convert to fraction form
    30,177.75/44,341.75 = 44,341.75/x
  3. Step 3: Cross multiply
    30,177.75x = 44,341.75 × 44,341.75
  4. Step 4: Simplify right side
    30,177.75x = 1,966,190,793.06
  5. Step 5: Solve for x
    x = 1,966,190,793.06/30,177.75
  6. Step 6: Final answer
    x = 65,153.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.