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Finding the Third Proportional to 34,256.25 and 53,013.38

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Solution

The third proportional to 34,256.25 and 53,013.38 is: 82,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,256.25 : 53,013.38 = 53,013.38 : x
  2. Step 2: Convert to fraction form
    34,256.25/53,013.38 = 53,013.38/x
  3. Step 3: Cross multiply
    34,256.25x = 53,013.38 × 53,013.38
  4. Step 4: Simplify right side
    34,256.25x = 2,810,417,928.89
  5. Step 5: Solve for x
    x = 2,810,417,928.89/34,256.25
  6. Step 6: Final answer
    x = 82,041.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.