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Finding the Third Proportional to 7,405.59 and 16,312.22

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Solution

The third proportional to 7,405.59 and 16,312.22 is: 35,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.59 : 16,312.22 = 16,312.22 : x
  2. Step 2: Convert to fraction form
    7,405.59/16,312.22 = 16,312.22/x
  3. Step 3: Cross multiply
    7,405.59x = 16,312.22 × 16,312.22
  4. Step 4: Simplify right side
    7,405.59x = 266,088,480.55
  5. Step 5: Solve for x
    x = 266,088,480.55/7,405.59
  6. Step 6: Final answer
    x = 35,930.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.