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Finding the Third Proportional to 10,215 and 15,619.50

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Solution

The third proportional to 10,215 and 15,619.50 is: 23,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215 : 15,619.50 = 15,619.50 : x
  2. Step 2: Convert to fraction form
    10,215/15,619.50 = 15,619.50/x
  3. Step 3: Cross multiply
    10,215x = 15,619.50 × 15,619.50
  4. Step 4: Simplify right side
    10,215x = 243,968,780.25
  5. Step 5: Solve for x
    x = 243,968,780.25/10,215
  6. Step 6: Final answer
    x = 23,883.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.