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Finding the Third Proportional to 27,710 and 59,358

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Solution

The third proportional to 27,710 and 59,358 is: 127,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710 : 59,358 = 59,358 : x
  2. Step 2: Convert to fraction form
    27,710/59,358 = 59,358/x
  3. Step 3: Cross multiply
    27,710x = 59,358 × 59,358
  4. Step 4: Simplify right side
    27,710x = 3,523,372,164
  5. Step 5: Solve for x
    x = 3,523,372,164/27,710
  6. Step 6: Final answer
    x = 127,151.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.