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Finding the Third Proportional to 16,390.13 and 35,842.50

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Solution

The third proportional to 16,390.13 and 35,842.50 is: 78,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.13 : 35,842.50 = 35,842.50 : x
  2. Step 2: Convert to fraction form
    16,390.13/35,842.50 = 35,842.50/x
  3. Step 3: Cross multiply
    16,390.13x = 35,842.50 × 35,842.50
  4. Step 4: Simplify right side
    16,390.13x = 1,284,684,806.25
  5. Step 5: Solve for x
    x = 1,284,684,806.25/16,390.13
  6. Step 6: Final answer
    x = 78,381.64

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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.