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Finding the Third Proportional to 10,221.19 and 24,953.06

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Solution

The third proportional to 10,221.19 and 24,953.06 is: 60,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 24,953.06 = 24,953.06 : x
  2. Step 2: Convert to fraction form
    10,221.19/24,953.06 = 24,953.06/x
  3. Step 3: Cross multiply
    10,221.19x = 24,953.06 × 24,953.06
  4. Step 4: Simplify right side
    10,221.19x = 622,655,328.13
  5. Step 5: Solve for x
    x = 622,655,328.13/10,221.19
  6. Step 6: Final answer
    x = 60,918.10

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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.