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Finding the Third Proportional to 27,834.63 and 58,404.50

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Solution

The third proportional to 27,834.63 and 58,404.50 is: 122,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.63 : 58,404.50 = 58,404.50 : x
  2. Step 2: Convert to fraction form
    27,834.63/58,404.50 = 58,404.50/x
  3. Step 3: Cross multiply
    27,834.63x = 58,404.50 × 58,404.50
  4. Step 4: Simplify right side
    27,834.63x = 3,411,085,620.25
  5. Step 5: Solve for x
    x = 3,411,085,620.25/27,834.63
  6. Step 6: Final answer
    x = 122,548.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.