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Finding the Third Proportional to 40,533.75 and 64,756.13

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Solution

The third proportional to 40,533.75 and 64,756.13 is: 103,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,533.75 : 64,756.13 = 64,756.13 : x
  2. Step 2: Convert to fraction form
    40,533.75/64,756.13 = 64,756.13/x
  3. Step 3: Cross multiply
    40,533.75x = 64,756.13 × 64,756.13
  4. Step 4: Simplify right side
    40,533.75x = 4,193,355,725.02
  5. Step 5: Solve for x
    x = 4,193,355,725.02/40,533.75
  6. Step 6: Final answer
    x = 103,453.44

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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.