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Finding the Third Proportional to 5,973.12 and 12,657.52

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Solution

The third proportional to 5,973.12 and 12,657.52 is: 26,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.12 : 12,657.52 = 12,657.52 : x
  2. Step 2: Convert to fraction form
    5,973.12/12,657.52 = 12,657.52/x
  3. Step 3: Cross multiply
    5,973.12x = 12,657.52 × 12,657.52
  4. Step 4: Simplify right side
    5,973.12x = 160,212,701.80
  5. Step 5: Solve for x
    x = 160,212,701.80/5,973.12
  6. Step 6: Final answer
    x = 26,822.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.