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Finding the Third Proportional to 37,080 and 80,784

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Solution

The third proportional to 37,080 and 80,784 is: 175,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,080 : 80,784 = 80,784 : x
  2. Step 2: Convert to fraction form
    37,080/80,784 = 80,784/x
  3. Step 3: Cross multiply
    37,080x = 80,784 × 80,784
  4. Step 4: Simplify right side
    37,080x = 6,526,054,656
  5. Step 5: Solve for x
    x = 6,526,054,656/37,080
  6. Step 6: Final answer
    x = 175,999.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.