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Finding the Third Proportional to 27,004 and 58,854

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Solution

The third proportional to 27,004 and 58,854 is: 128,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 58,854 = 58,854 : x
  2. Step 2: Convert to fraction form
    27,004/58,854 = 58,854/x
  3. Step 3: Cross multiply
    27,004x = 58,854 × 58,854
  4. Step 4: Simplify right side
    27,004x = 3,463,793,316
  5. Step 5: Solve for x
    x = 3,463,793,316/27,004
  6. Step 6: Final answer
    x = 128,269.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.