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Finding the Third Proportional to 10,402.19 and 16,899.94

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Solution

The third proportional to 10,402.19 and 16,899.94 is: 27,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.19 : 16,899.94 = 16,899.94 : x
  2. Step 2: Convert to fraction form
    10,402.19/16,899.94 = 16,899.94/x
  3. Step 3: Cross multiply
    10,402.19x = 16,899.94 × 16,899.94
  4. Step 4: Simplify right side
    10,402.19x = 285,607,887.50
  5. Step 5: Solve for x
    x = 285,607,887.50/10,402.19
  6. Step 6: Final answer
    x = 27,456.52

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.