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Finding the Third Proportional to 7,465.92 and 16,316.44

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Solution

The third proportional to 7,465.92 and 16,316.44 is: 35,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.92 : 16,316.44 = 16,316.44 : x
  2. Step 2: Convert to fraction form
    7,465.92/16,316.44 = 16,316.44/x
  3. Step 3: Cross multiply
    7,465.92x = 16,316.44 × 16,316.44
  4. Step 4: Simplify right side
    7,465.92x = 266,226,132.69
  5. Step 5: Solve for x
    x = 266,226,132.69/7,465.92
  6. Step 6: Final answer
    x = 35,658.84

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Why These Related Problems?

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