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Finding the Third Proportional to 7,335 and 10,080

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Solution

The third proportional to 7,335 and 10,080 is: 13,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335 : 10,080 = 10,080 : x
  2. Step 2: Convert to fraction form
    7,335/10,080 = 10,080/x
  3. Step 3: Cross multiply
    7,335x = 10,080 × 10,080
  4. Step 4: Simplify right side
    7,335x = 101,606,400
  5. Step 5: Solve for x
    x = 101,606,400/7,335
  6. Step 6: Final answer
    x = 13,852.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.