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Finding the Third Proportional to 6,558.75 and 10,230.47

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Solution

The third proportional to 6,558.75 and 10,230.47 is: 15,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.75 : 10,230.47 = 10,230.47 : x
  2. Step 2: Convert to fraction form
    6,558.75/10,230.47 = 10,230.47/x
  3. Step 3: Cross multiply
    6,558.75x = 10,230.47 × 10,230.47
  4. Step 4: Simplify right side
    6,558.75x = 104,662,490.84
  5. Step 5: Solve for x
    x = 104,662,490.84/6,558.75
  6. Step 6: Final answer
    x = 15,957.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.