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Finding the Third Proportional to 2,050.31 and 4,670.16

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Solution

The third proportional to 2,050.31 and 4,670.16 is: 10,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 4,670.16 = 4,670.16 : x
  2. Step 2: Convert to fraction form
    2,050.31/4,670.16 = 4,670.16/x
  3. Step 3: Cross multiply
    2,050.31x = 4,670.16 × 4,670.16
  4. Step 4: Simplify right side
    2,050.31x = 21,810,359.40
  5. Step 5: Solve for x
    x = 21,810,359.40/2,050.31
  6. Step 6: Final answer
    x = 10,637.58

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.