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Finding the Third Proportional to 24,096 and 38,476

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Solution

The third proportional to 24,096 and 38,476 is: 61,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 38,476 = 38,476 : x
  2. Step 2: Convert to fraction form
    24,096/38,476 = 38,476/x
  3. Step 3: Cross multiply
    24,096x = 38,476 × 38,476
  4. Step 4: Simplify right side
    24,096x = 1,480,402,576
  5. Step 5: Solve for x
    x = 1,480,402,576/24,096
  6. Step 6: Final answer
    x = 61,437.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.