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Finding the Third Proportional to 37,495.50 and 79,207.50

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Solution

The third proportional to 37,495.50 and 79,207.50 is: 167,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,495.50 : 79,207.50 = 79,207.50 : x
  2. Step 2: Convert to fraction form
    37,495.50/79,207.50 = 79,207.50/x
  3. Step 3: Cross multiply
    37,495.50x = 79,207.50 × 79,207.50
  4. Step 4: Simplify right side
    37,495.50x = 6,273,828,056.25
  5. Step 5: Solve for x
    x = 6,273,828,056.25/37,495.50
  6. Step 6: Final answer
    x = 167,322.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.