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Finding the Third Proportional to 13,417.50 and 17,648.25

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Solution

The third proportional to 13,417.50 and 17,648.25 is: 23,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.50 : 17,648.25 = 17,648.25 : x
  2. Step 2: Convert to fraction form
    13,417.50/17,648.25 = 17,648.25/x
  3. Step 3: Cross multiply
    13,417.50x = 17,648.25 × 17,648.25
  4. Step 4: Simplify right side
    13,417.50x = 311,460,728.06
  5. Step 5: Solve for x
    x = 311,460,728.06/13,417.50
  6. Step 6: Final answer
    x = 23,213.02

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.