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Finding the Third Proportional to 23,643 and 36,608.63

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Solution

The third proportional to 23,643 and 36,608.63 is: 56,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643 : 36,608.63 = 36,608.63 : x
  2. Step 2: Convert to fraction form
    23,643/36,608.63 = 36,608.63/x
  3. Step 3: Cross multiply
    23,643x = 36,608.63 × 36,608.63
  4. Step 4: Simplify right side
    23,643x = 1,340,191,424.39
  5. Step 5: Solve for x
    x = 1,340,191,424.39/23,643
  6. Step 6: Final answer
    x = 56,684.49

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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.