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Finding the Third Proportional to 7,423.59 and 16,007.53

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Solution

The third proportional to 7,423.59 and 16,007.53 is: 34,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.59 : 16,007.53 = 16,007.53 : x
  2. Step 2: Convert to fraction form
    7,423.59/16,007.53 = 16,007.53/x
  3. Step 3: Cross multiply
    7,423.59x = 16,007.53 × 16,007.53
  4. Step 4: Simplify right side
    7,423.59x = 256,241,056.72
  5. Step 5: Solve for x
    x = 256,241,056.72/7,423.59
  6. Step 6: Final answer
    x = 34,517.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.