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Finding the Third Proportional to 3,173.63 and 4,637.81

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Solution

The third proportional to 3,173.63 and 4,637.81 is: 6,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.63 : 4,637.81 = 4,637.81 : x
  2. Step 2: Convert to fraction form
    3,173.63/4,637.81 = 4,637.81/x
  3. Step 3: Cross multiply
    3,173.63x = 4,637.81 × 4,637.81
  4. Step 4: Simplify right side
    3,173.63x = 21,509,304.79
  5. Step 5: Solve for x
    x = 21,509,304.79/3,173.63
  6. Step 6: Final answer
    x = 6,777.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.