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Finding the Third Proportional to 14,085 and 29,962.50

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Solution

The third proportional to 14,085 and 29,962.50 is: 63,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085 : 29,962.50 = 29,962.50 : x
  2. Step 2: Convert to fraction form
    14,085/29,962.50 = 29,962.50/x
  3. Step 3: Cross multiply
    14,085x = 29,962.50 × 29,962.50
  4. Step 4: Simplify right side
    14,085x = 897,751,406.25
  5. Step 5: Solve for x
    x = 897,751,406.25/14,085
  6. Step 6: Final answer
    x = 63,738.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.