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Finding the Third Proportional to 47,376.75 and 65,089.13

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Solution

The third proportional to 47,376.75 and 65,089.13 is: 89,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,376.75 : 65,089.13 = 65,089.13 : x
  2. Step 2: Convert to fraction form
    47,376.75/65,089.13 = 65,089.13/x
  3. Step 3: Cross multiply
    47,376.75x = 65,089.13 × 65,089.13
  4. Step 4: Simplify right side
    47,376.75x = 4,236,594,193.27
  5. Step 5: Solve for x
    x = 4,236,594,193.27/47,376.75
  6. Step 6: Final answer
    x = 89,423.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.