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Finding the Third Proportional to 14,670 and 31,080

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Solution

The third proportional to 14,670 and 31,080 is: 65,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670 : 31,080 = 31,080 : x
  2. Step 2: Convert to fraction form
    14,670/31,080 = 31,080/x
  3. Step 3: Cross multiply
    14,670x = 31,080 × 31,080
  4. Step 4: Simplify right side
    14,670x = 965,966,400
  5. Step 5: Solve for x
    x = 965,966,400/14,670
  6. Step 6: Final answer
    x = 65,846.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.