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Finding the Third Proportional to 2,977.17 and 6,537.80

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Solution

The third proportional to 2,977.17 and 6,537.80 is: 14,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.17 : 6,537.80 = 6,537.80 : x
  2. Step 2: Convert to fraction form
    2,977.17/6,537.80 = 6,537.80/x
  3. Step 3: Cross multiply
    2,977.17x = 6,537.80 × 6,537.80
  4. Step 4: Simplify right side
    2,977.17x = 42,742,787.98
  5. Step 5: Solve for x
    x = 42,742,787.98/2,977.17
  6. Step 6: Final answer
    x = 14,356.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.