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Finding the Third Proportional to 45,537.75 and 67,838.63

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Solution

The third proportional to 45,537.75 and 67,838.63 is: 101,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,537.75 : 67,838.63 = 67,838.63 : x
  2. Step 2: Convert to fraction form
    45,537.75/67,838.63 = 67,838.63/x
  3. Step 3: Cross multiply
    45,537.75x = 67,838.63 × 67,838.63
  4. Step 4: Simplify right side
    45,537.75x = 4,602,079,041.89
  5. Step 5: Solve for x
    x = 4,602,079,041.89/45,537.75
  6. Step 6: Final answer
    x = 101,060.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.