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Finding the Third Proportional to 13,260.50 and 28,663

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Solution

The third proportional to 13,260.50 and 28,663 is: 61,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260.50 : 28,663 = 28,663 : x
  2. Step 2: Convert to fraction form
    13,260.50/28,663 = 28,663/x
  3. Step 3: Cross multiply
    13,260.50x = 28,663 × 28,663
  4. Step 4: Simplify right side
    13,260.50x = 821,567,569
  5. Step 5: Solve for x
    x = 821,567,569/13,260.50
  6. Step 6: Final answer
    x = 61,956.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.