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Finding the Third Proportional to 8,495.51 and 18,357.89

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Solution

The third proportional to 8,495.51 and 18,357.89 is: 39,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.51 : 18,357.89 = 18,357.89 : x
  2. Step 2: Convert to fraction form
    8,495.51/18,357.89 = 18,357.89/x
  3. Step 3: Cross multiply
    8,495.51x = 18,357.89 × 18,357.89
  4. Step 4: Simplify right side
    8,495.51x = 337,012,148.20
  5. Step 5: Solve for x
    x = 337,012,148.20/8,495.51
  6. Step 6: Final answer
    x = 39,669.45

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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.