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Finding the Third Proportional to 34,892.63 and 49,837.88

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Solution

The third proportional to 34,892.63 and 49,837.88 is: 71,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,892.63 : 49,837.88 = 49,837.88 : x
  2. Step 2: Convert to fraction form
    34,892.63/49,837.88 = 49,837.88/x
  3. Step 3: Cross multiply
    34,892.63x = 49,837.88 × 49,837.88
  4. Step 4: Simplify right side
    34,892.63x = 2,483,813,784.52
  5. Step 5: Solve for x
    x = 2,483,813,784.52/34,892.63
  6. Step 6: Final answer
    x = 71,184.49

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