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Finding the Third Proportional to 37,216.50 and 53,056.50

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Solution

The third proportional to 37,216.50 and 53,056.50 is: 75,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,216.50 : 53,056.50 = 53,056.50 : x
  2. Step 2: Convert to fraction form
    37,216.50/53,056.50 = 53,056.50/x
  3. Step 3: Cross multiply
    37,216.50x = 53,056.50 × 53,056.50
  4. Step 4: Simplify right side
    37,216.50x = 2,814,992,192.25
  5. Step 5: Solve for x
    x = 2,814,992,192.25/37,216.50
  6. Step 6: Final answer
    x = 75,638.28

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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.