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Finding the Third Proportional to 7,345.41 and 16,148.81

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Solution

The third proportional to 7,345.41 and 16,148.81 is: 35,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.41 : 16,148.81 = 16,148.81 : x
  2. Step 2: Convert to fraction form
    7,345.41/16,148.81 = 16,148.81/x
  3. Step 3: Cross multiply
    7,345.41x = 16,148.81 × 16,148.81
  4. Step 4: Simplify right side
    7,345.41x = 260,784,145.16
  5. Step 5: Solve for x
    x = 260,784,145.16/7,345.41
  6. Step 6: Final answer
    x = 35,503.03

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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.