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Finding the Third Proportional to 2,875.50 and 6,366.94

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Solution

The third proportional to 2,875.50 and 6,366.94 is: 14,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.50 : 6,366.94 = 6,366.94 : x
  2. Step 2: Convert to fraction form
    2,875.50/6,366.94 = 6,366.94/x
  3. Step 3: Cross multiply
    2,875.50x = 6,366.94 × 6,366.94
  4. Step 4: Simplify right side
    2,875.50x = 40,537,893.13
  5. Step 5: Solve for x
    x = 40,537,893.13/2,875.50
  6. Step 6: Final answer
    x = 14,097.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.