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Finding the Third Proportional to 30,101.25 and 47,703.38

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Solution

The third proportional to 30,101.25 and 47,703.38 is: 75,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.25 : 47,703.38 = 47,703.38 : x
  2. Step 2: Convert to fraction form
    30,101.25/47,703.38 = 47,703.38/x
  3. Step 3: Cross multiply
    30,101.25x = 47,703.38 × 47,703.38
  4. Step 4: Simplify right side
    30,101.25x = 2,275,611,986.39
  5. Step 5: Solve for x
    x = 2,275,611,986.39/30,101.25
  6. Step 6: Final answer
    x = 75,598.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.