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Finding the Third Proportional to 7,112.81 and 14,878.69

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Solution

The third proportional to 7,112.81 and 14,878.69 is: 31,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.81 : 14,878.69 = 14,878.69 : x
  2. Step 2: Convert to fraction form
    7,112.81/14,878.69 = 14,878.69/x
  3. Step 3: Cross multiply
    7,112.81x = 14,878.69 × 14,878.69
  4. Step 4: Simplify right side
    7,112.81x = 221,375,341.72
  5. Step 5: Solve for x
    x = 221,375,341.72/7,112.81
  6. Step 6: Final answer
    x = 31,123.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.