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Finding the Third Proportional to 9,730 and 15,096

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Solution

The third proportional to 9,730 and 15,096 is: 23,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730 : 15,096 = 15,096 : x
  2. Step 2: Convert to fraction form
    9,730/15,096 = 15,096/x
  3. Step 3: Cross multiply
    9,730x = 15,096 × 15,096
  4. Step 4: Simplify right side
    9,730x = 227,889,216
  5. Step 5: Solve for x
    x = 227,889,216/9,730
  6. Step 6: Final answer
    x = 23,421.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.