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Finding the Third Proportional to 7,080 and 14,468.25

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Solution

The third proportional to 7,080 and 14,468.25 is: 29,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 14,468.25 = 14,468.25 : x
  2. Step 2: Convert to fraction form
    7,080/14,468.25 = 14,468.25/x
  3. Step 3: Cross multiply
    7,080x = 14,468.25 × 14,468.25
  4. Step 4: Simplify right side
    7,080x = 209,330,258.06
  5. Step 5: Solve for x
    x = 209,330,258.06/7,080
  6. Step 6: Final answer
    x = 29,566.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.