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Finding the Third Proportional to 34,090.72 and 74,948.89

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Solution

The third proportional to 34,090.72 and 74,948.89 is: 164,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090.72 : 74,948.89 = 74,948.89 : x
  2. Step 2: Convert to fraction form
    34,090.72/74,948.89 = 74,948.89/x
  3. Step 3: Cross multiply
    34,090.72x = 74,948.89 × 74,948.89
  4. Step 4: Simplify right side
    34,090.72x = 5,617,335,913.15
  5. Step 5: Solve for x
    x = 5,617,335,913.15/34,090.72
  6. Step 6: Final answer
    x = 164,776.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.