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Finding the Third Proportional to 7,767 and 10,384.88

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Solution

The third proportional to 7,767 and 10,384.88 is: 13,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 10,384.88 = 10,384.88 : x
  2. Step 2: Convert to fraction form
    7,767/10,384.88 = 10,384.88/x
  3. Step 3: Cross multiply
    7,767x = 10,384.88 × 10,384.88
  4. Step 4: Simplify right side
    7,767x = 107,845,628.77
  5. Step 5: Solve for x
    x = 107,845,628.77/7,767
  6. Step 6: Final answer
    x = 13,885.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.