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Finding the Third Proportional to 3,425.63 and 7,916.06

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Solution

The third proportional to 3,425.63 and 7,916.06 is: 18,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.63 : 7,916.06 = 7,916.06 : x
  2. Step 2: Convert to fraction form
    3,425.63/7,916.06 = 7,916.06/x
  3. Step 3: Cross multiply
    3,425.63x = 7,916.06 × 7,916.06
  4. Step 4: Simplify right side
    3,425.63x = 62,664,045.50
  5. Step 5: Solve for x
    x = 62,664,045.50/3,425.63
  6. Step 6: Final answer
    x = 18,292.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.