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Finding the Third Proportional to 34,893 and 49,838.63

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Solution

The third proportional to 34,893 and 49,838.63 is: 71,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,893 : 49,838.63 = 49,838.63 : x
  2. Step 2: Convert to fraction form
    34,893/49,838.63 = 49,838.63/x
  3. Step 3: Cross multiply
    34,893x = 49,838.63 × 49,838.63
  4. Step 4: Simplify right side
    34,893x = 2,483,888,541.89
  5. Step 5: Solve for x
    x = 2,483,888,541.89/34,893
  6. Step 6: Final answer
    x = 71,185.87

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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.