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Finding the Third Proportional to 7,384.61 and 16,204.32

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Solution

The third proportional to 7,384.61 and 16,204.32 is: 35,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.61 : 16,204.32 = 16,204.32 : x
  2. Step 2: Convert to fraction form
    7,384.61/16,204.32 = 16,204.32/x
  3. Step 3: Cross multiply
    7,384.61x = 16,204.32 × 16,204.32
  4. Step 4: Simplify right side
    7,384.61x = 262,580,123.39
  5. Step 5: Solve for x
    x = 262,580,123.39/7,384.61
  6. Step 6: Final answer
    x = 35,557.77

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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.