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Finding the Third Proportional to 30,155.63 and 65,414.25

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Solution

The third proportional to 30,155.63 and 65,414.25 is: 141,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,155.63 : 65,414.25 = 65,414.25 : x
  2. Step 2: Convert to fraction form
    30,155.63/65,414.25 = 65,414.25/x
  3. Step 3: Cross multiply
    30,155.63x = 65,414.25 × 65,414.25
  4. Step 4: Simplify right side
    30,155.63x = 4,279,024,103.06
  5. Step 5: Solve for x
    x = 4,279,024,103.06/30,155.63
  6. Step 6: Final answer
    x = 141,898.04

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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.