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Finding the Third Proportional to 46,947 and 63,940.50

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Solution

The third proportional to 46,947 and 63,940.50 is: 87,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,947 : 63,940.50 = 63,940.50 : x
  2. Step 2: Convert to fraction form
    46,947/63,940.50 = 63,940.50/x
  3. Step 3: Cross multiply
    46,947x = 63,940.50 × 63,940.50
  4. Step 4: Simplify right side
    46,947x = 4,088,387,540.25
  5. Step 5: Solve for x
    x = 4,088,387,540.25/46,947
  6. Step 6: Final answer
    x = 87,085.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.