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Finding the Third Proportional to 46,044.28 and 69,237.28

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Solution

The third proportional to 46,044.28 and 69,237.28 is: 104,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044.28 : 69,237.28 = 69,237.28 : x
  2. Step 2: Convert to fraction form
    46,044.28/69,237.28 = 69,237.28/x
  3. Step 3: Cross multiply
    46,044.28x = 69,237.28 × 69,237.28
  4. Step 4: Simplify right side
    46,044.28x = 4,793,801,114.89
  5. Step 5: Solve for x
    x = 4,793,801,114.89/46,044.28
  6. Step 6: Final answer
    x = 104,112.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.