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Finding the Third Proportional to 35,628 and 53,250

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Solution

The third proportional to 35,628 and 53,250 is: 79,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,628 : 53,250 = 53,250 : x
  2. Step 2: Convert to fraction form
    35,628/53,250 = 53,250/x
  3. Step 3: Cross multiply
    35,628x = 53,250 × 53,250
  4. Step 4: Simplify right side
    35,628x = 2,835,562,500
  5. Step 5: Solve for x
    x = 2,835,562,500/35,628
  6. Step 6: Final answer
    x = 79,588.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.