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Finding the Third Proportional to 32,484 and 69,576

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Solution

The third proportional to 32,484 and 69,576 is: 149,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484 : 69,576 = 69,576 : x
  2. Step 2: Convert to fraction form
    32,484/69,576 = 69,576/x
  3. Step 3: Cross multiply
    32,484x = 69,576 × 69,576
  4. Step 4: Simplify right side
    32,484x = 4,840,819,776
  5. Step 5: Solve for x
    x = 4,840,819,776/32,484
  6. Step 6: Final answer
    x = 149,021.67

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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.