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Finding the Third Proportional to 573.12 and 1,237.36

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Solution

The third proportional to 573.12 and 1,237.36 is: 2,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 1,237.36 = 1,237.36 : x
  2. Step 2: Convert to fraction form
    573.12/1,237.36 = 1,237.36/x
  3. Step 3: Cross multiply
    573.12x = 1,237.36 × 1,237.36
  4. Step 4: Simplify right side
    573.12x = 1,531,058.22
  5. Step 5: Solve for x
    x = 1,531,058.22/573.12
  6. Step 6: Final answer
    x = 2,671.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.