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Finding the Third Proportional to 10,798.31 and 16,658.58

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Solution

The third proportional to 10,798.31 and 16,658.58 is: 25,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.31 : 16,658.58 = 16,658.58 : x
  2. Step 2: Convert to fraction form
    10,798.31/16,658.58 = 16,658.58/x
  3. Step 3: Cross multiply
    10,798.31x = 16,658.58 × 16,658.58
  4. Step 4: Simplify right side
    10,798.31x = 277,508,225.15
  5. Step 5: Solve for x
    x = 277,508,225.15/10,798.31
  6. Step 6: Final answer
    x = 25,699.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.