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Finding the Third Proportional to 34,690.78 and 74,643.89

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Solution

The third proportional to 34,690.78 and 74,643.89 is: 160,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690.78 : 74,643.89 = 74,643.89 : x
  2. Step 2: Convert to fraction form
    34,690.78/74,643.89 = 74,643.89/x
  3. Step 3: Cross multiply
    34,690.78x = 74,643.89 × 74,643.89
  4. Step 4: Simplify right side
    34,690.78x = 5,571,710,407.64
  5. Step 5: Solve for x
    x = 5,571,710,407.64/34,690.78
  6. Step 6: Final answer
    x = 160,610.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.