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Finding the Third Proportional to 35,203.50 and 45,697.50

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Solution

The third proportional to 35,203.50 and 45,697.50 is: 59,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.50 : 45,697.50 = 45,697.50 : x
  2. Step 2: Convert to fraction form
    35,203.50/45,697.50 = 45,697.50/x
  3. Step 3: Cross multiply
    35,203.50x = 45,697.50 × 45,697.50
  4. Step 4: Simplify right side
    35,203.50x = 2,088,261,506.25
  5. Step 5: Solve for x
    x = 2,088,261,506.25/35,203.50
  6. Step 6: Final answer
    x = 59,319.71

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.