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Finding the Third Proportional to 47,681.16 and 64,757.60

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Solution

The third proportional to 47,681.16 and 64,757.60 is: 87,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681.16 : 64,757.60 = 64,757.60 : x
  2. Step 2: Convert to fraction form
    47,681.16/64,757.60 = 64,757.60/x
  3. Step 3: Cross multiply
    47,681.16x = 64,757.60 × 64,757.60
  4. Step 4: Simplify right side
    47,681.16x = 4,193,546,960.13
  5. Step 5: Solve for x
    x = 4,193,546,960.13/47,681.16
  6. Step 6: Final answer
    x = 87,949.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.