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Finding the Third Proportional to 24,051.30 and 52,254.49

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Solution

The third proportional to 24,051.30 and 52,254.49 is: 113,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051.30 : 52,254.49 = 52,254.49 : x
  2. Step 2: Convert to fraction form
    24,051.30/52,254.49 = 52,254.49/x
  3. Step 3: Cross multiply
    24,051.30x = 52,254.49 × 52,254.49
  4. Step 4: Simplify right side
    24,051.30x = 2,730,531,953.77
  5. Step 5: Solve for x
    x = 2,730,531,953.77/24,051.30
  6. Step 6: Final answer
    x = 113,529.47

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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.