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Finding the Third Proportional to 2,237.63 and 4,772.81

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Solution

The third proportional to 2,237.63 and 4,772.81 is: 10,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.63 : 4,772.81 = 4,772.81 : x
  2. Step 2: Convert to fraction form
    2,237.63/4,772.81 = 4,772.81/x
  3. Step 3: Cross multiply
    2,237.63x = 4,772.81 × 4,772.81
  4. Step 4: Simplify right side
    2,237.63x = 22,779,739.16
  5. Step 5: Solve for x
    x = 22,779,739.16/2,237.63
  6. Step 6: Final answer
    x = 10,180.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.