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Finding the Third Proportional to 30,760.25 and 47,156.25

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Solution

The third proportional to 30,760.25 and 47,156.25 is: 72,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.25 : 47,156.25 = 47,156.25 : x
  2. Step 2: Convert to fraction form
    30,760.25/47,156.25 = 47,156.25/x
  3. Step 3: Cross multiply
    30,760.25x = 47,156.25 × 47,156.25
  4. Step 4: Simplify right side
    30,760.25x = 2,223,711,914.06
  5. Step 5: Solve for x
    x = 2,223,711,914.06/30,760.25
  6. Step 6: Final answer
    x = 72,291.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.