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Finding the Third Proportional to 28,857.94 and 46,100.06

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Solution

The third proportional to 28,857.94 and 46,100.06 is: 73,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.94 : 46,100.06 = 46,100.06 : x
  2. Step 2: Convert to fraction form
    28,857.94/46,100.06 = 46,100.06/x
  3. Step 3: Cross multiply
    28,857.94x = 46,100.06 × 46,100.06
  4. Step 4: Simplify right side
    28,857.94x = 2,125,215,762.50
  5. Step 5: Solve for x
    x = 2,125,215,762.50/28,857.94
  6. Step 6: Final answer
    x = 73,644.06

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