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Finding the Third Proportional to 27,346 and 59,435

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Solution

The third proportional to 27,346 and 59,435 is: 129,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346 : 59,435 = 59,435 : x
  2. Step 2: Convert to fraction form
    27,346/59,435 = 59,435/x
  3. Step 3: Cross multiply
    27,346x = 59,435 × 59,435
  4. Step 4: Simplify right side
    27,346x = 3,532,519,225
  5. Step 5: Solve for x
    x = 3,532,519,225/27,346
  6. Step 6: Final answer
    x = 129,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.