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Finding the Third Proportional to 7,666.88 and 17,916.75

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Solution

The third proportional to 7,666.88 and 17,916.75 is: 41,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.88 : 17,916.75 = 17,916.75 : x
  2. Step 2: Convert to fraction form
    7,666.88/17,916.75 = 17,916.75/x
  3. Step 3: Cross multiply
    7,666.88x = 17,916.75 × 17,916.75
  4. Step 4: Simplify right side
    7,666.88x = 321,009,930.56
  5. Step 5: Solve for x
    x = 321,009,930.56/7,666.88
  6. Step 6: Final answer
    x = 41,869.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.