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Finding the Third Proportional to 34,097.38 and 45,866.63

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Solution

The third proportional to 34,097.38 and 45,866.63 is: 61,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.38 : 45,866.63 = 45,866.63 : x
  2. Step 2: Convert to fraction form
    34,097.38/45,866.63 = 45,866.63/x
  3. Step 3: Cross multiply
    34,097.38x = 45,866.63 × 45,866.63
  4. Step 4: Simplify right side
    34,097.38x = 2,103,747,288.89
  5. Step 5: Solve for x
    x = 2,103,747,288.89/34,097.38
  6. Step 6: Final answer
    x = 61,698.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.