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Finding the Third Proportional to 827.13 and 1,316.63

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Solution

The third proportional to 827.13 and 1,316.63 is: 2,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.13 : 1,316.63 = 1,316.63 : x
  2. Step 2: Convert to fraction form
    827.13/1,316.63 = 1,316.63/x
  3. Step 3: Cross multiply
    827.13x = 1,316.63 × 1,316.63
  4. Step 4: Simplify right side
    827.13x = 1,733,501.39
  5. Step 5: Solve for x
    x = 1,733,501.39/827.13
  6. Step 6: Final answer
    x = 2,095.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.