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Finding the Third Proportional to 33,484 and 57,030

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Solution

The third proportional to 33,484 and 57,030 is: 97,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484 : 57,030 = 57,030 : x
  2. Step 2: Convert to fraction form
    33,484/57,030 = 57,030/x
  3. Step 3: Cross multiply
    33,484x = 57,030 × 57,030
  4. Step 4: Simplify right side
    33,484x = 3,252,420,900
  5. Step 5: Solve for x
    x = 3,252,420,900/33,484
  6. Step 6: Final answer
    x = 97,133.58

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.