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Finding the Third Proportional to 15,018 and 23,242.50

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Solution

The third proportional to 15,018 and 23,242.50 is: 35,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 23,242.50 = 23,242.50 : x
  2. Step 2: Convert to fraction form
    15,018/23,242.50 = 23,242.50/x
  3. Step 3: Cross multiply
    15,018x = 23,242.50 × 23,242.50
  4. Step 4: Simplify right side
    15,018x = 540,213,806.25
  5. Step 5: Solve for x
    x = 540,213,806.25/15,018
  6. Step 6: Final answer
    x = 35,971.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.