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Finding the Third Proportional to 12,952.50 and 18,398.50

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Solution

The third proportional to 12,952.50 and 18,398.50 is: 26,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.50 : 18,398.50 = 18,398.50 : x
  2. Step 2: Convert to fraction form
    12,952.50/18,398.50 = 18,398.50/x
  3. Step 3: Cross multiply
    12,952.50x = 18,398.50 × 18,398.50
  4. Step 4: Simplify right side
    12,952.50x = 338,504,802.25
  5. Step 5: Solve for x
    x = 338,504,802.25/12,952.50
  6. Step 6: Final answer
    x = 26,134.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.