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Finding the Third Proportional to 30,038 and 46,756

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Solution

The third proportional to 30,038 and 46,756 is: 72,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038 : 46,756 = 46,756 : x
  2. Step 2: Convert to fraction form
    30,038/46,756 = 46,756/x
  3. Step 3: Cross multiply
    30,038x = 46,756 × 46,756
  4. Step 4: Simplify right side
    30,038x = 2,186,123,536
  5. Step 5: Solve for x
    x = 2,186,123,536/30,038
  6. Step 6: Final answer
    x = 72,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.