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Finding the Third Proportional to 4,955.55 and 7,046.05

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Solution

The third proportional to 4,955.55 and 7,046.05 is: 10,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.55 : 7,046.05 = 7,046.05 : x
  2. Step 2: Convert to fraction form
    4,955.55/7,046.05 = 7,046.05/x
  3. Step 3: Cross multiply
    4,955.55x = 7,046.05 × 7,046.05
  4. Step 4: Simplify right side
    4,955.55x = 49,646,831.61
  5. Step 5: Solve for x
    x = 49,646,831.61/4,955.55
  6. Step 6: Final answer
    x = 10,018.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.