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Finding the Third Proportional to 30,145.50 and 65,480.63

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Solution

The third proportional to 30,145.50 and 65,480.63 is: 142,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.50 : 65,480.63 = 65,480.63 : x
  2. Step 2: Convert to fraction form
    30,145.50/65,480.63 = 65,480.63/x
  3. Step 3: Cross multiply
    30,145.50x = 65,480.63 × 65,480.63
  4. Step 4: Simplify right side
    30,145.50x = 4,287,712,250.39
  5. Step 5: Solve for x
    x = 4,287,712,250.39/30,145.50
  6. Step 6: Final answer
    x = 142,233.91

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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.