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Finding the Third Proportional to 37,773 and 55,615.50

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Solution

The third proportional to 37,773 and 55,615.50 is: 81,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773 : 55,615.50 = 55,615.50 : x
  2. Step 2: Convert to fraction form
    37,773/55,615.50 = 55,615.50/x
  3. Step 3: Cross multiply
    37,773x = 55,615.50 × 55,615.50
  4. Step 4: Simplify right side
    37,773x = 3,093,083,840.25
  5. Step 5: Solve for x
    x = 3,093,083,840.25/37,773
  6. Step 6: Final answer
    x = 81,886.10

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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.