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Finding the Third Proportional to 46,764 and 63,889.50

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Solution

The third proportional to 46,764 and 63,889.50 is: 87,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 63,889.50 = 63,889.50 : x
  2. Step 2: Convert to fraction form
    46,764/63,889.50 = 63,889.50/x
  3. Step 3: Cross multiply
    46,764x = 63,889.50 × 63,889.50
  4. Step 4: Simplify right side
    46,764x = 4,081,868,210.25
  5. Step 5: Solve for x
    x = 4,081,868,210.25/46,764
  6. Step 6: Final answer
    x = 87,286.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.