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Finding the Third Proportional to 24,111 and 35,223.75

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Solution

The third proportional to 24,111 and 35,223.75 is: 51,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,111 : 35,223.75 = 35,223.75 : x
  2. Step 2: Convert to fraction form
    24,111/35,223.75 = 35,223.75/x
  3. Step 3: Cross multiply
    24,111x = 35,223.75 × 35,223.75
  4. Step 4: Simplify right side
    24,111x = 1,240,712,564.06
  5. Step 5: Solve for x
    x = 1,240,712,564.06/24,111
  6. Step 6: Final answer
    x = 51,458.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.