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Finding the Third Proportional to 11,254.78 and 24,417.28

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Solution

The third proportional to 11,254.78 and 24,417.28 is: 52,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.78 : 24,417.28 = 24,417.28 : x
  2. Step 2: Convert to fraction form
    11,254.78/24,417.28 = 24,417.28/x
  3. Step 3: Cross multiply
    11,254.78x = 24,417.28 × 24,417.28
  4. Step 4: Simplify right side
    11,254.78x = 596,203,623.64
  5. Step 5: Solve for x
    x = 596,203,623.64/11,254.78
  6. Step 6: Final answer
    x = 52,973.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.