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Finding the Third Proportional to 40,532.06 and 64,751.06

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Solution

The third proportional to 40,532.06 and 64,751.06 is: 103,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,532.06 : 64,751.06 = 64,751.06 : x
  2. Step 2: Convert to fraction form
    40,532.06/64,751.06 = 64,751.06/x
  3. Step 3: Cross multiply
    40,532.06x = 64,751.06 × 64,751.06
  4. Step 4: Simplify right side
    40,532.06x = 4,192,700,094.88
  5. Step 5: Solve for x
    x = 4,192,700,094.88/40,532.06
  6. Step 6: Final answer
    x = 103,441.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.