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Finding the Third Proportional to 34,706.81 and 54,005.06

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Solution

The third proportional to 34,706.81 and 54,005.06 is: 84,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.81 : 54,005.06 = 54,005.06 : x
  2. Step 2: Convert to fraction form
    34,706.81/54,005.06 = 54,005.06/x
  3. Step 3: Cross multiply
    34,706.81x = 54,005.06 × 54,005.06
  4. Step 4: Simplify right side
    34,706.81x = 2,916,546,775.63
  5. Step 5: Solve for x
    x = 2,916,546,775.63/34,706.81
  6. Step 6: Final answer
    x = 84,033.84

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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.