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Finding the Third Proportional to 7,080 and 19,261.50

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Solution

The third proportional to 7,080 and 19,261.50 is: 52,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 19,261.50 = 19,261.50 : x
  2. Step 2: Convert to fraction form
    7,080/19,261.50 = 19,261.50/x
  3. Step 3: Cross multiply
    7,080x = 19,261.50 × 19,261.50
  4. Step 4: Simplify right side
    7,080x = 371,005,382.25
  5. Step 5: Solve for x
    x = 371,005,382.25/7,080
  6. Step 6: Final answer
    x = 52,401.89

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.