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Finding the Third Proportional to 6,612.47 and 10,245.23

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Solution

The third proportional to 6,612.47 and 10,245.23 is: 15,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.47 : 10,245.23 = 10,245.23 : x
  2. Step 2: Convert to fraction form
    6,612.47/10,245.23 = 10,245.23/x
  3. Step 3: Cross multiply
    6,612.47x = 10,245.23 × 10,245.23
  4. Step 4: Simplify right side
    6,612.47x = 104,964,827.40
  5. Step 5: Solve for x
    x = 104,964,827.40/6,612.47
  6. Step 6: Final answer
    x = 15,873.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.