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Finding the Third Proportional to 59,213.53 and 76,823.44

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Solution

The third proportional to 59,213.53 and 76,823.44 is: 99,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,213.53 : 76,823.44 = 76,823.44 : x
  2. Step 2: Convert to fraction form
    59,213.53/76,823.44 = 76,823.44/x
  3. Step 3: Cross multiply
    59,213.53x = 76,823.44 × 76,823.44
  4. Step 4: Simplify right side
    59,213.53x = 5,901,840,549.32
  5. Step 5: Solve for x
    x = 5,901,840,549.32/59,213.53
  6. Step 6: Final answer
    x = 99,670.47

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.