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Finding the Third Proportional to 15,157.50 and 18,256.50

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Solution

The third proportional to 15,157.50 and 18,256.50 is: 21,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.50 : 18,256.50 = 18,256.50 : x
  2. Step 2: Convert to fraction form
    15,157.50/18,256.50 = 18,256.50/x
  3. Step 3: Cross multiply
    15,157.50x = 18,256.50 × 18,256.50
  4. Step 4: Simplify right side
    15,157.50x = 333,299,792.25
  5. Step 5: Solve for x
    x = 333,299,792.25/15,157.50
  6. Step 6: Final answer
    x = 21,989.10

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.