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Finding the Third Proportional to 49,361.63 and 70,538.06

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Solution

The third proportional to 49,361.63 and 70,538.06 is: 100,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,361.63 : 70,538.06 = 70,538.06 : x
  2. Step 2: Convert to fraction form
    49,361.63/70,538.06 = 70,538.06/x
  3. Step 3: Cross multiply
    49,361.63x = 70,538.06 × 70,538.06
  4. Step 4: Simplify right side
    49,361.63x = 4,975,618,261.25
  5. Step 5: Solve for x
    x = 4,975,618,261.25/49,361.63
  6. Step 6: Final answer
    x = 100,799.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.