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Finding the Third Proportional to 28,863 and 46,107.50

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Solution

The third proportional to 28,863 and 46,107.50 is: 73,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,863 : 46,107.50 = 46,107.50 : x
  2. Step 2: Convert to fraction form
    28,863/46,107.50 = 46,107.50/x
  3. Step 3: Cross multiply
    28,863x = 46,107.50 × 46,107.50
  4. Step 4: Simplify right side
    28,863x = 2,125,901,556.25
  5. Step 5: Solve for x
    x = 2,125,901,556.25/28,863
  6. Step 6: Final answer
    x = 73,654.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.