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Finding the Third Proportional to 12,597 and 18,448.50

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Solution

The third proportional to 12,597 and 18,448.50 is: 27,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597 : 18,448.50 = 18,448.50 : x
  2. Step 2: Convert to fraction form
    12,597/18,448.50 = 18,448.50/x
  3. Step 3: Cross multiply
    12,597x = 18,448.50 × 18,448.50
  4. Step 4: Simplify right side
    12,597x = 340,347,152.25
  5. Step 5: Solve for x
    x = 340,347,152.25/12,597
  6. Step 6: Final answer
    x = 27,018.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.