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Finding the Third Proportional to 12,599.72 and 18,534.66

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Solution

The third proportional to 12,599.72 and 18,534.66 is: 27,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.72 : 18,534.66 = 18,534.66 : x
  2. Step 2: Convert to fraction form
    12,599.72/18,534.66 = 18,534.66/x
  3. Step 3: Cross multiply
    12,599.72x = 18,534.66 × 18,534.66
  4. Step 4: Simplify right side
    12,599.72x = 343,533,482.31
  5. Step 5: Solve for x
    x = 343,533,482.31/12,599.72
  6. Step 6: Final answer
    x = 27,265.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.