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Finding the Third Proportional to 1,973.25 and 4,568.63

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Solution

The third proportional to 1,973.25 and 4,568.63 is: 10,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.25 : 4,568.63 = 4,568.63 : x
  2. Step 2: Convert to fraction form
    1,973.25/4,568.63 = 4,568.63/x
  3. Step 3: Cross multiply
    1,973.25x = 4,568.63 × 4,568.63
  4. Step 4: Simplify right side
    1,973.25x = 20,872,334.39
  5. Step 5: Solve for x
    x = 20,872,334.39/1,973.25
  6. Step 6: Final answer
    x = 10,577.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.