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Finding the Third Proportional to 16,146.21 and 35,291.00

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Solution

The third proportional to 16,146.21 and 35,291.00 is: 77,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.21 : 35,291.00 = 35,291.00 : x
  2. Step 2: Convert to fraction form
    16,146.21/35,291.00 = 35,291.00/x
  3. Step 3: Cross multiply
    16,146.21x = 35,291.00 × 35,291.00
  4. Step 4: Simplify right side
    16,146.21x = 1,245,454,956.71
  5. Step 5: Solve for x
    x = 1,245,454,956.71/16,146.21
  6. Step 6: Final answer
    x = 77,136.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.