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Finding the Third Proportional to 14,445 and 30,035.25

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Solution

The third proportional to 14,445 and 30,035.25 is: 62,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 30,035.25 = 30,035.25 : x
  2. Step 2: Convert to fraction form
    14,445/30,035.25 = 30,035.25/x
  3. Step 3: Cross multiply
    14,445x = 30,035.25 × 30,035.25
  4. Step 4: Simplify right side
    14,445x = 902,116,242.56
  5. Step 5: Solve for x
    x = 902,116,242.56/14,445
  6. Step 6: Final answer
    x = 62,451.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.