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Finding the Third Proportional to 36,588.47 and 55,271.94

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Solution

The third proportional to 36,588.47 and 55,271.94 is: 83,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588.47 : 55,271.94 = 55,271.94 : x
  2. Step 2: Convert to fraction form
    36,588.47/55,271.94 = 55,271.94/x
  3. Step 3: Cross multiply
    36,588.47x = 55,271.94 × 55,271.94
  4. Step 4: Simplify right side
    36,588.47x = 3,054,987,344.89
  5. Step 5: Solve for x
    x = 3,054,987,344.89/36,588.47
  6. Step 6: Final answer
    x = 83,495.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.