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Finding the Third Proportional to 53,449.88 and 84,630.38

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Solution

The third proportional to 53,449.88 and 84,630.38 is: 134,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,449.88 : 84,630.38 = 84,630.38 : x
  2. Step 2: Convert to fraction form
    53,449.88/84,630.38 = 84,630.38/x
  3. Step 3: Cross multiply
    53,449.88x = 84,630.38 × 84,630.38
  4. Step 4: Simplify right side
    53,449.88x = 7,162,300,372.64
  5. Step 5: Solve for x
    x = 7,162,300,372.64/53,449.88
  6. Step 6: Final answer
    x = 134,000.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.