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Finding the Third Proportional to 27,820.13 and 65,644.59

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Solution

The third proportional to 27,820.13 and 65,644.59 is: 154,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.13 : 65,644.59 = 65,644.59 : x
  2. Step 2: Convert to fraction form
    27,820.13/65,644.59 = 65,644.59/x
  3. Step 3: Cross multiply
    27,820.13x = 65,644.59 × 65,644.59
  4. Step 4: Simplify right side
    27,820.13x = 4,309,212,688.60
  5. Step 5: Solve for x
    x = 4,309,212,688.60/27,820.13
  6. Step 6: Final answer
    x = 154,895.52

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.