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Finding the Third Proportional to 30,697.50 and 47,402.25

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Solution

The third proportional to 30,697.50 and 47,402.25 is: 73,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.50 : 47,402.25 = 47,402.25 : x
  2. Step 2: Convert to fraction form
    30,697.50/47,402.25 = 47,402.25/x
  3. Step 3: Cross multiply
    30,697.50x = 47,402.25 × 47,402.25
  4. Step 4: Simplify right side
    30,697.50x = 2,246,973,305.06
  5. Step 5: Solve for x
    x = 2,246,973,305.06/30,697.50
  6. Step 6: Final answer
    x = 73,197.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.