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Finding the Third Proportional to 9,734 and 15,033

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Solution

The third proportional to 9,734 and 15,033 is: 23,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734 : 15,033 = 15,033 : x
  2. Step 2: Convert to fraction form
    9,734/15,033 = 15,033/x
  3. Step 3: Cross multiply
    9,734x = 15,033 × 15,033
  4. Step 4: Simplify right side
    9,734x = 225,991,089
  5. Step 5: Solve for x
    x = 225,991,089/9,734
  6. Step 6: Final answer
    x = 23,216.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.