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Finding the Third Proportional to 26,006.63 and 38,084.06

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Solution

The third proportional to 26,006.63 and 38,084.06 is: 55,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.63 : 38,084.06 = 38,084.06 : x
  2. Step 2: Convert to fraction form
    26,006.63/38,084.06 = 38,084.06/x
  3. Step 3: Cross multiply
    26,006.63x = 38,084.06 × 38,084.06
  4. Step 4: Simplify right side
    26,006.63x = 1,450,395,816.50
  5. Step 5: Solve for x
    x = 1,450,395,816.50/26,006.63
  6. Step 6: Final answer
    x = 55,770.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.