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Finding the Third Proportional to 49,973 and 66,030

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Solution

The third proportional to 49,973 and 66,030 is: 87,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,973 : 66,030 = 66,030 : x
  2. Step 2: Convert to fraction form
    49,973/66,030 = 66,030/x
  3. Step 3: Cross multiply
    49,973x = 66,030 × 66,030
  4. Step 4: Simplify right side
    49,973x = 4,359,960,900
  5. Step 5: Solve for x
    x = 4,359,960,900/49,973
  6. Step 6: Final answer
    x = 87,246.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.