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Finding the Third Proportional to 24,316 and 35,684

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Solution

The third proportional to 24,316 and 35,684 is: 52,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316 : 35,684 = 35,684 : x
  2. Step 2: Convert to fraction form
    24,316/35,684 = 35,684/x
  3. Step 3: Cross multiply
    24,316x = 35,684 × 35,684
  4. Step 4: Simplify right side
    24,316x = 1,273,347,856
  5. Step 5: Solve for x
    x = 1,273,347,856/24,316
  6. Step 6: Final answer
    x = 52,366.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.