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Finding the Third Proportional to 7,776 and 12,546

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Solution

The third proportional to 7,776 and 12,546 is: 20,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 12,546 = 12,546 : x
  2. Step 2: Convert to fraction form
    7,776/12,546 = 12,546/x
  3. Step 3: Cross multiply
    7,776x = 12,546 × 12,546
  4. Step 4: Simplify right side
    7,776x = 157,402,116
  5. Step 5: Solve for x
    x = 157,402,116/7,776
  6. Step 6: Final answer
    x = 20,242.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.