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Finding the Third Proportional to 7,776 and 12,369

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Solution

The third proportional to 7,776 and 12,369 is: 19,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 12,369 = 12,369 : x
  2. Step 2: Convert to fraction form
    7,776/12,369 = 12,369/x
  3. Step 3: Cross multiply
    7,776x = 12,369 × 12,369
  4. Step 4: Simplify right side
    7,776x = 152,992,161
  5. Step 5: Solve for x
    x = 152,992,161/7,776
  6. Step 6: Final answer
    x = 19,674.92

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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.