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Finding the Third Proportional to 10,121.63 and 13,618.13

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Solution

The third proportional to 10,121.63 and 13,618.13 is: 18,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.63 : 13,618.13 = 13,618.13 : x
  2. Step 2: Convert to fraction form
    10,121.63/13,618.13 = 13,618.13/x
  3. Step 3: Cross multiply
    10,121.63x = 13,618.13 × 13,618.13
  4. Step 4: Simplify right side
    10,121.63x = 185,453,328.52
  5. Step 5: Solve for x
    x = 185,453,328.52/10,121.63
  6. Step 6: Final answer
    x = 18,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.