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Finding the Third Proportional to 7,744.50 and 12,307

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Solution

The third proportional to 7,744.50 and 12,307 is: 19,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.50 : 12,307 = 12,307 : x
  2. Step 2: Convert to fraction form
    7,744.50/12,307 = 12,307/x
  3. Step 3: Cross multiply
    7,744.50x = 12,307 × 12,307
  4. Step 4: Simplify right side
    7,744.50x = 151,462,249
  5. Step 5: Solve for x
    x = 151,462,249/7,744.50
  6. Step 6: Final answer
    x = 19,557.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.