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Finding the Third Proportional to 53,411.25 and 76,327.50

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Solution

The third proportional to 53,411.25 and 76,327.50 is: 109,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411.25 : 76,327.50 = 76,327.50 : x
  2. Step 2: Convert to fraction form
    53,411.25/76,327.50 = 76,327.50/x
  3. Step 3: Cross multiply
    53,411.25x = 76,327.50 × 76,327.50
  4. Step 4: Simplify right side
    53,411.25x = 5,825,887,256.25
  5. Step 5: Solve for x
    x = 5,825,887,256.25/53,411.25
  6. Step 6: Final answer
    x = 109,076.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.