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Finding the Third Proportional to 899.86 and 1,966.36

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Solution

The third proportional to 899.86 and 1,966.36 is: 4,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.86 : 1,966.36 = 1,966.36 : x
  2. Step 2: Convert to fraction form
    899.86/1,966.36 = 1,966.36/x
  3. Step 3: Cross multiply
    899.86x = 1,966.36 × 1,966.36
  4. Step 4: Simplify right side
    899.86x = 3,866,569.19
  5. Step 5: Solve for x
    x = 3,866,569.19/899.86
  6. Step 6: Final answer
    x = 4,296.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.