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Finding the Third Proportional to 2,077.88 and 4,502.53

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Solution

The third proportional to 2,077.88 and 4,502.53 is: 9,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.88 : 4,502.53 = 4,502.53 : x
  2. Step 2: Convert to fraction form
    2,077.88/4,502.53 = 4,502.53/x
  3. Step 3: Cross multiply
    2,077.88x = 4,502.53 × 4,502.53
  4. Step 4: Simplify right side
    2,077.88x = 20,272,787.66
  5. Step 5: Solve for x
    x = 20,272,787.66/2,077.88
  6. Step 6: Final answer
    x = 9,756.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.