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Finding the Third Proportional to 23,501.44 and 36,407.63

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Solution

The third proportional to 23,501.44 and 36,407.63 is: 56,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501.44 : 36,407.63 = 36,407.63 : x
  2. Step 2: Convert to fraction form
    23,501.44/36,407.63 = 36,407.63/x
  3. Step 3: Cross multiply
    23,501.44x = 36,407.63 × 36,407.63
  4. Step 4: Simplify right side
    23,501.44x = 1,325,515,158.14
  5. Step 5: Solve for x
    x = 1,325,515,158.14/23,501.44
  6. Step 6: Final answer
    x = 56,401.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.