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Finding the Third Proportional to 10,648.50 and 13,024.50

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Solution

The third proportional to 10,648.50 and 13,024.50 is: 15,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.50 : 13,024.50 = 13,024.50 : x
  2. Step 2: Convert to fraction form
    10,648.50/13,024.50 = 13,024.50/x
  3. Step 3: Cross multiply
    10,648.50x = 13,024.50 × 13,024.50
  4. Step 4: Simplify right side
    10,648.50x = 169,637,600.25
  5. Step 5: Solve for x
    x = 169,637,600.25/10,648.50
  6. Step 6: Final answer
    x = 15,930.66

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.