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Finding the Third Proportional to 27,480 and 59,334

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Solution

The third proportional to 27,480 and 59,334 is: 128,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480 : 59,334 = 59,334 : x
  2. Step 2: Convert to fraction form
    27,480/59,334 = 59,334/x
  3. Step 3: Cross multiply
    27,480x = 59,334 × 59,334
  4. Step 4: Simplify right side
    27,480x = 3,520,523,556
  5. Step 5: Solve for x
    x = 3,520,523,556/27,480
  6. Step 6: Final answer
    x = 128,112.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.