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Finding the Third Proportional to 27,415 and 56,984

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Solution

The third proportional to 27,415 and 56,984 is: 118,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415 : 56,984 = 56,984 : x
  2. Step 2: Convert to fraction form
    27,415/56,984 = 56,984/x
  3. Step 3: Cross multiply
    27,415x = 56,984 × 56,984
  4. Step 4: Simplify right side
    27,415x = 3,247,176,256
  5. Step 5: Solve for x
    x = 3,247,176,256/27,415
  6. Step 6: Final answer
    x = 118,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.