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Finding the Third Proportional to 6,423.05 and 14,045.91

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Solution

The third proportional to 6,423.05 and 14,045.91 is: 30,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.05 : 14,045.91 = 14,045.91 : x
  2. Step 2: Convert to fraction form
    6,423.05/14,045.91 = 14,045.91/x
  3. Step 3: Cross multiply
    6,423.05x = 14,045.91 × 14,045.91
  4. Step 4: Simplify right side
    6,423.05x = 197,287,482.38
  5. Step 5: Solve for x
    x = 197,287,482.38/6,423.05
  6. Step 6: Final answer
    x = 30,715.56

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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.