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Finding the Third Proportional to 21,647.25 and 28,319.63

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Solution

The third proportional to 21,647.25 and 28,319.63 is: 37,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.25 : 28,319.63 = 28,319.63 : x
  2. Step 2: Convert to fraction form
    21,647.25/28,319.63 = 28,319.63/x
  3. Step 3: Cross multiply
    21,647.25x = 28,319.63 × 28,319.63
  4. Step 4: Simplify right side
    21,647.25x = 802,001,160.14
  5. Step 5: Solve for x
    x = 802,001,160.14/21,647.25
  6. Step 6: Final answer
    x = 37,048.64

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.