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Finding the Third Proportional to 10,615.22 and 22,495.22

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Solution

The third proportional to 10,615.22 and 22,495.22 is: 47,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.22 : 22,495.22 = 22,495.22 : x
  2. Step 2: Convert to fraction form
    10,615.22/22,495.22 = 22,495.22/x
  3. Step 3: Cross multiply
    10,615.22x = 22,495.22 × 22,495.22
  4. Step 4: Simplify right side
    10,615.22x = 506,034,866.61
  5. Step 5: Solve for x
    x = 506,034,866.61/10,615.22
  6. Step 6: Final answer
    x = 47,670.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.