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Finding the Third Proportional to 39,957.47 and 66,586.64

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Solution

The third proportional to 39,957.47 and 66,586.64 is: 110,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,957.47 : 66,586.64 = 66,586.64 : x
  2. Step 2: Convert to fraction form
    39,957.47/66,586.64 = 66,586.64/x
  3. Step 3: Cross multiply
    39,957.47x = 66,586.64 × 66,586.64
  4. Step 4: Simplify right side
    39,957.47x = 4,433,780,709.72
  5. Step 5: Solve for x
    x = 4,433,780,709.72/39,957.47
  6. Step 6: Final answer
    x = 110,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.