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Finding the Third Proportional to 34,646.48 and 74,213.72

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Solution

The third proportional to 34,646.48 and 74,213.72 is: 158,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.48 : 74,213.72 = 74,213.72 : x
  2. Step 2: Convert to fraction form
    34,646.48/74,213.72 = 74,213.72/x
  3. Step 3: Cross multiply
    34,646.48x = 74,213.72 × 74,213.72
  4. Step 4: Simplify right side
    34,646.48x = 5,507,676,050.70
  5. Step 5: Solve for x
    x = 5,507,676,050.70/34,646.48
  6. Step 6: Final answer
    x = 158,967.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.