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Finding the Third Proportional to 37,210.50 and 53,048.25

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Solution

The third proportional to 37,210.50 and 53,048.25 is: 75,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210.50 : 53,048.25 = 53,048.25 : x
  2. Step 2: Convert to fraction form
    37,210.50/53,048.25 = 53,048.25/x
  3. Step 3: Cross multiply
    37,210.50x = 53,048.25 × 53,048.25
  4. Step 4: Simplify right side
    37,210.50x = 2,814,116,828.06
  5. Step 5: Solve for x
    x = 2,814,116,828.06/37,210.50
  6. Step 6: Final answer
    x = 75,626.96

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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.