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Finding the Third Proportional to 27,435 and 59,829

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Solution

The third proportional to 27,435 and 59,829 is: 130,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435 : 59,829 = 59,829 : x
  2. Step 2: Convert to fraction form
    27,435/59,829 = 59,829/x
  3. Step 3: Cross multiply
    27,435x = 59,829 × 59,829
  4. Step 4: Simplify right side
    27,435x = 3,579,509,241
  5. Step 5: Solve for x
    x = 3,579,509,241/27,435
  6. Step 6: Final answer
    x = 130,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.