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Finding the Third Proportional to 14,968 and 34,984

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Solution

The third proportional to 14,968 and 34,984 is: 81,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968 : 34,984 = 34,984 : x
  2. Step 2: Convert to fraction form
    14,968/34,984 = 34,984/x
  3. Step 3: Cross multiply
    14,968x = 34,984 × 34,984
  4. Step 4: Simplify right side
    14,968x = 1,223,880,256
  5. Step 5: Solve for x
    x = 1,223,880,256/14,968
  6. Step 6: Final answer
    x = 81,766.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.