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Finding the Third Proportional to 34,618.50 and 49,503

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Solution

The third proportional to 34,618.50 and 49,503 is: 70,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,618.50 : 49,503 = 49,503 : x
  2. Step 2: Convert to fraction form
    34,618.50/49,503 = 49,503/x
  3. Step 3: Cross multiply
    34,618.50x = 49,503 × 49,503
  4. Step 4: Simplify right side
    34,618.50x = 2,450,547,009
  5. Step 5: Solve for x
    x = 2,450,547,009/34,618.50
  6. Step 6: Final answer
    x = 70,787.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.