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Finding the Third Proportional to 53,630.44 and 78,782.63

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Solution

The third proportional to 53,630.44 and 78,782.63 is: 115,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,630.44 : 78,782.63 = 78,782.63 : x
  2. Step 2: Convert to fraction form
    53,630.44/78,782.63 = 78,782.63/x
  3. Step 3: Cross multiply
    53,630.44x = 78,782.63 × 78,782.63
  4. Step 4: Simplify right side
    53,630.44x = 6,206,702,001.89
  5. Step 5: Solve for x
    x = 6,206,702,001.89/53,630.44
  6. Step 6: Final answer
    x = 115,730.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.