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Finding the Third Proportional to 14,139 and 29,445.75

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Solution

The third proportional to 14,139 and 29,445.75 is: 61,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139 : 29,445.75 = 29,445.75 : x
  2. Step 2: Convert to fraction form
    14,139/29,445.75 = 29,445.75/x
  3. Step 3: Cross multiply
    14,139x = 29,445.75 × 29,445.75
  4. Step 4: Simplify right side
    14,139x = 867,052,193.06
  5. Step 5: Solve for x
    x = 867,052,193.06/14,139
  6. Step 6: Final answer
    x = 61,323.45

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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.