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Finding the Third Proportional to 10,776.84 and 16,820.44

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Solution

The third proportional to 10,776.84 and 16,820.44 is: 26,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.84 : 16,820.44 = 16,820.44 : x
  2. Step 2: Convert to fraction form
    10,776.84/16,820.44 = 16,820.44/x
  3. Step 3: Cross multiply
    10,776.84x = 16,820.44 × 16,820.44
  4. Step 4: Simplify right side
    10,776.84x = 282,927,117.69
  5. Step 5: Solve for x
    x = 282,927,117.69/10,776.84
  6. Step 6: Final answer
    x = 26,253.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.