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Finding the Third Proportional to 34,038 and 48,924.50

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Solution

The third proportional to 34,038 and 48,924.50 is: 70,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038 : 48,924.50 = 48,924.50 : x
  2. Step 2: Convert to fraction form
    34,038/48,924.50 = 48,924.50/x
  3. Step 3: Cross multiply
    34,038x = 48,924.50 × 48,924.50
  4. Step 4: Simplify right side
    34,038x = 2,393,606,700.25
  5. Step 5: Solve for x
    x = 2,393,606,700.25/34,038
  6. Step 6: Final answer
    x = 70,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.