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Finding the Third Proportional to 3,523.13 and 4,925.63

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Solution

The third proportional to 3,523.13 and 4,925.63 is: 6,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.13 : 4,925.63 = 4,925.63 : x
  2. Step 2: Convert to fraction form
    3,523.13/4,925.63 = 4,925.63/x
  3. Step 3: Cross multiply
    3,523.13x = 4,925.63 × 4,925.63
  4. Step 4: Simplify right side
    3,523.13x = 24,261,781.64
  5. Step 5: Solve for x
    x = 24,261,781.64/3,523.13
  6. Step 6: Final answer
    x = 6,886.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.