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Finding the Third Proportional to 24,255 and 53,223.75

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Solution

The third proportional to 24,255 and 53,223.75 is: 116,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255 : 53,223.75 = 53,223.75 : x
  2. Step 2: Convert to fraction form
    24,255/53,223.75 = 53,223.75/x
  3. Step 3: Cross multiply
    24,255x = 53,223.75 × 53,223.75
  4. Step 4: Simplify right side
    24,255x = 2,832,767,564.06
  5. Step 5: Solve for x
    x = 2,832,767,564.06/24,255
  6. Step 6: Final answer
    x = 116,791.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.