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Finding the Third Proportional to 9,894 and 15,084

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Solution

The third proportional to 9,894 and 15,084 is: 22,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894 : 15,084 = 15,084 : x
  2. Step 2: Convert to fraction form
    9,894/15,084 = 15,084/x
  3. Step 3: Cross multiply
    9,894x = 15,084 × 15,084
  4. Step 4: Simplify right side
    9,894x = 227,527,056
  5. Step 5: Solve for x
    x = 227,527,056/9,894
  6. Step 6: Final answer
    x = 22,996.47

Related Problems

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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.