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Finding the Third Proportional to 10,034.50 and 21,656.50

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Solution

The third proportional to 10,034.50 and 21,656.50 is: 46,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.50 : 21,656.50 = 21,656.50 : x
  2. Step 2: Convert to fraction form
    10,034.50/21,656.50 = 21,656.50/x
  3. Step 3: Cross multiply
    10,034.50x = 21,656.50 × 21,656.50
  4. Step 4: Simplify right side
    10,034.50x = 469,003,992.25
  5. Step 5: Solve for x
    x = 469,003,992.25/10,034.50
  6. Step 6: Final answer
    x = 46,739.15

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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.