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Finding the Third Proportional to 46,981.69 and 67,880.53

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Solution

The third proportional to 46,981.69 and 67,880.53 is: 98,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,981.69 : 67,880.53 = 67,880.53 : x
  2. Step 2: Convert to fraction form
    46,981.69/67,880.53 = 67,880.53/x
  3. Step 3: Cross multiply
    46,981.69x = 67,880.53 × 67,880.53
  4. Step 4: Simplify right side
    46,981.69x = 4,607,766,522.78
  5. Step 5: Solve for x
    x = 4,607,766,522.78/46,981.69
  6. Step 6: Final answer
    x = 98,075.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.