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Finding the Third Proportional to 32,484 and 69,804

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Solution

The third proportional to 32,484 and 69,804 is: 149,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484 : 69,804 = 69,804 : x
  2. Step 2: Convert to fraction form
    32,484/69,804 = 69,804/x
  3. Step 3: Cross multiply
    32,484x = 69,804 × 69,804
  4. Step 4: Simplify right side
    32,484x = 4,872,598,416
  5. Step 5: Solve for x
    x = 4,872,598,416/32,484
  6. Step 6: Final answer
    x = 149,999.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.