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Finding the Third Proportional to 14,445 and 22,172.06

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Solution

The third proportional to 14,445 and 22,172.06 is: 34,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 22,172.06 = 22,172.06 : x
  2. Step 2: Convert to fraction form
    14,445/22,172.06 = 22,172.06/x
  3. Step 3: Cross multiply
    14,445x = 22,172.06 × 22,172.06
  4. Step 4: Simplify right side
    14,445x = 491,600,355.50
  5. Step 5: Solve for x
    x = 491,600,355.50/14,445
  6. Step 6: Final answer
    x = 34,032.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.