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Finding the Third Proportional to 11,111.06 and 24,682.50

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Solution

The third proportional to 11,111.06 and 24,682.50 is: 54,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.06 : 24,682.50 = 24,682.50 : x
  2. Step 2: Convert to fraction form
    11,111.06/24,682.50 = 24,682.50/x
  3. Step 3: Cross multiply
    11,111.06x = 24,682.50 × 24,682.50
  4. Step 4: Simplify right side
    11,111.06x = 609,225,806.25
  5. Step 5: Solve for x
    x = 609,225,806.25/11,111.06
  6. Step 6: Final answer
    x = 54,830.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.