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Finding the Third Proportional to 30,064.92 and 65,253.09

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Solution

The third proportional to 30,064.92 and 65,253.09 is: 141,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,064.92 : 65,253.09 = 65,253.09 : x
  2. Step 2: Convert to fraction form
    30,064.92/65,253.09 = 65,253.09/x
  3. Step 3: Cross multiply
    30,064.92x = 65,253.09 × 65,253.09
  4. Step 4: Simplify right side
    30,064.92x = 4,257,966,243.95
  5. Step 5: Solve for x
    x = 4,257,966,243.95/30,064.92
  6. Step 6: Final answer
    x = 141,625.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.