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Finding the Third Proportional to 6,898.45 and 14,719.54

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Solution

The third proportional to 6,898.45 and 14,719.54 is: 31,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.45 : 14,719.54 = 14,719.54 : x
  2. Step 2: Convert to fraction form
    6,898.45/14,719.54 = 14,719.54/x
  3. Step 3: Cross multiply
    6,898.45x = 14,719.54 × 14,719.54
  4. Step 4: Simplify right side
    6,898.45x = 216,664,715.22
  5. Step 5: Solve for x
    x = 216,664,715.22/6,898.45
  6. Step 6: Final answer
    x = 31,407.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.