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Finding the Third Proportional to 21,756.09 and 24,672.09

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Solution

The third proportional to 21,756.09 and 24,672.09 is: 27,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756.09 : 24,672.09 = 24,672.09 : x
  2. Step 2: Convert to fraction form
    21,756.09/24,672.09 = 24,672.09/x
  3. Step 3: Cross multiply
    21,756.09x = 24,672.09 × 24,672.09
  4. Step 4: Simplify right side
    21,756.09x = 608,712,210.01
  5. Step 5: Solve for x
    x = 608,712,210.01/21,756.09
  6. Step 6: Final answer
    x = 27,978.93

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.