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Finding the Third Proportional to 5,925.09 and 12,963.66

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Solution

The third proportional to 5,925.09 and 12,963.66 is: 28,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.09 : 12,963.66 = 12,963.66 : x
  2. Step 2: Convert to fraction form
    5,925.09/12,963.66 = 12,963.66/x
  3. Step 3: Cross multiply
    5,925.09x = 12,963.66 × 12,963.66
  4. Step 4: Simplify right side
    5,925.09x = 168,056,383.37
  5. Step 5: Solve for x
    x = 168,056,383.37/5,925.09
  6. Step 6: Final answer
    x = 28,363.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.