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Finding the Third Proportional to 9,964 and 15,098

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Solution

The third proportional to 9,964 and 15,098 is: 22,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 15,098 = 15,098 : x
  2. Step 2: Convert to fraction form
    9,964/15,098 = 15,098/x
  3. Step 3: Cross multiply
    9,964x = 15,098 × 15,098
  4. Step 4: Simplify right side
    9,964x = 227,949,604
  5. Step 5: Solve for x
    x = 227,949,604/9,964
  6. Step 6: Final answer
    x = 22,877.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.