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Finding the Third Proportional to 9,734 and 15,056

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Solution

The third proportional to 9,734 and 15,056 is: 23,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734 : 15,056 = 15,056 : x
  2. Step 2: Convert to fraction form
    9,734/15,056 = 15,056/x
  3. Step 3: Cross multiply
    9,734x = 15,056 × 15,056
  4. Step 4: Simplify right side
    9,734x = 226,683,136
  5. Step 5: Solve for x
    x = 226,683,136/9,734
  6. Step 6: Final answer
    x = 23,287.77

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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.