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Finding the Third Proportional to 34,743 and 55,264.50

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Solution

The third proportional to 34,743 and 55,264.50 is: 87,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743 : 55,264.50 = 55,264.50 : x
  2. Step 2: Convert to fraction form
    34,743/55,264.50 = 55,264.50/x
  3. Step 3: Cross multiply
    34,743x = 55,264.50 × 55,264.50
  4. Step 4: Simplify right side
    34,743x = 3,054,164,960.25
  5. Step 5: Solve for x
    x = 3,054,164,960.25/34,743
  6. Step 6: Final answer
    x = 87,907.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.