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Finding the Third Proportional to 5,051.53 and 7,994.53

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Solution

The third proportional to 5,051.53 and 7,994.53 is: 12,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.53 : 7,994.53 = 7,994.53 : x
  2. Step 2: Convert to fraction form
    5,051.53/7,994.53 = 7,994.53/x
  3. Step 3: Cross multiply
    5,051.53x = 7,994.53 × 7,994.53
  4. Step 4: Simplify right side
    5,051.53x = 63,912,529.91
  5. Step 5: Solve for x
    x = 63,912,529.91/5,051.53
  6. Step 6: Final answer
    x = 12,652.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.