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Finding the Third Proportional to 10,347.33 and 22,495.22

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Solution

The third proportional to 10,347.33 and 22,495.22 is: 48,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.33 : 22,495.22 = 22,495.22 : x
  2. Step 2: Convert to fraction form
    10,347.33/22,495.22 = 22,495.22/x
  3. Step 3: Cross multiply
    10,347.33x = 22,495.22 × 22,495.22
  4. Step 4: Simplify right side
    10,347.33x = 506,034,866.61
  5. Step 5: Solve for x
    x = 506,034,866.61/10,347.33
  6. Step 6: Final answer
    x = 48,904.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.