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Finding the Third Proportional to 36,547.50 and 80,074.88

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Solution

The third proportional to 36,547.50 and 80,074.88 is: 175,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.50 : 80,074.88 = 80,074.88 : x
  2. Step 2: Convert to fraction form
    36,547.50/80,074.88 = 80,074.88/x
  3. Step 3: Cross multiply
    36,547.50x = 80,074.88 × 80,074.88
  4. Step 4: Simplify right side
    36,547.50x = 6,411,985,606.27
  5. Step 5: Solve for x
    x = 6,411,985,606.27/36,547.50
  6. Step 6: Final answer
    x = 175,442.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.