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Finding the Third Proportional to 34,022.13 and 52,809.19

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Solution

The third proportional to 34,022.13 and 52,809.19 is: 81,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.13 : 52,809.19 = 52,809.19 : x
  2. Step 2: Convert to fraction form
    34,022.13/52,809.19 = 52,809.19/x
  3. Step 3: Cross multiply
    34,022.13x = 52,809.19 × 52,809.19
  4. Step 4: Simplify right side
    34,022.13x = 2,788,810,284.41
  5. Step 5: Solve for x
    x = 2,788,810,284.41/34,022.13
  6. Step 6: Final answer
    x = 81,970.49

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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.