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Finding the Third Proportional to 13,887 and 22,561.88

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Solution

The third proportional to 13,887 and 22,561.88 is: 36,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 22,561.88 = 22,561.88 : x
  2. Step 2: Convert to fraction form
    13,887/22,561.88 = 22,561.88/x
  3. Step 3: Cross multiply
    13,887x = 22,561.88 × 22,561.88
  4. Step 4: Simplify right side
    13,887x = 509,038,203.52
  5. Step 5: Solve for x
    x = 509,038,203.52/13,887
  6. Step 6: Final answer
    x = 36,655.74

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.