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Finding the Third Proportional to 12,559 and 18,460.50

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Solution

The third proportional to 12,559 and 18,460.50 is: 27,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559 : 18,460.50 = 18,460.50 : x
  2. Step 2: Convert to fraction form
    12,559/18,460.50 = 18,460.50/x
  3. Step 3: Cross multiply
    12,559x = 18,460.50 × 18,460.50
  4. Step 4: Simplify right side
    12,559x = 340,790,060.25
  5. Step 5: Solve for x
    x = 340,790,060.25/12,559
  6. Step 6: Final answer
    x = 27,135.13

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