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Finding the Third Proportional to 27,004 and 39,594

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Solution

The third proportional to 27,004 and 39,594 is: 58,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 39,594 = 39,594 : x
  2. Step 2: Convert to fraction form
    27,004/39,594 = 39,594/x
  3. Step 3: Cross multiply
    27,004x = 39,594 × 39,594
  4. Step 4: Simplify right side
    27,004x = 1,567,684,836
  5. Step 5: Solve for x
    x = 1,567,684,836/27,004
  6. Step 6: Final answer
    x = 58,053.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.