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Finding the Third Proportional to 43,866.56 and 65,507.06

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Solution

The third proportional to 43,866.56 and 65,507.06 is: 97,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,866.56 : 65,507.06 = 65,507.06 : x
  2. Step 2: Convert to fraction form
    43,866.56/65,507.06 = 65,507.06/x
  3. Step 3: Cross multiply
    43,866.56x = 65,507.06 × 65,507.06
  4. Step 4: Simplify right side
    43,866.56x = 4,291,175,237.38
  5. Step 5: Solve for x
    x = 4,291,175,237.38/43,866.56
  6. Step 6: Final answer
    x = 97,823.38

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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.