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Finding the Third Proportional to 34,953 and 74,849.25

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Solution

The third proportional to 34,953 and 74,849.25 is: 160,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,953 : 74,849.25 = 74,849.25 : x
  2. Step 2: Convert to fraction form
    34,953/74,849.25 = 74,849.25/x
  3. Step 3: Cross multiply
    34,953x = 74,849.25 × 74,849.25
  4. Step 4: Simplify right side
    34,953x = 5,602,410,225.56
  5. Step 5: Solve for x
    x = 5,602,410,225.56/34,953
  6. Step 6: Final answer
    x = 160,284.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.