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Finding the Third Proportional to 34,053.75 and 74,575.69

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Solution

The third proportional to 34,053.75 and 74,575.69 is: 163,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.75 : 74,575.69 = 74,575.69 : x
  2. Step 2: Convert to fraction form
    34,053.75/74,575.69 = 74,575.69/x
  3. Step 3: Cross multiply
    34,053.75x = 74,575.69 × 74,575.69
  4. Step 4: Simplify right side
    34,053.75x = 5,561,533,166.10
  5. Step 5: Solve for x
    x = 5,561,533,166.10/34,053.75
  6. Step 6: Final answer
    x = 163,316.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.