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Finding the Third Proportional to 22,635 and 46,863

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Solution

The third proportional to 22,635 and 46,863 is: 97,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635 : 46,863 = 46,863 : x
  2. Step 2: Convert to fraction form
    22,635/46,863 = 46,863/x
  3. Step 3: Cross multiply
    22,635x = 46,863 × 46,863
  4. Step 4: Simplify right side
    22,635x = 2,196,140,769
  5. Step 5: Solve for x
    x = 2,196,140,769/22,635
  6. Step 6: Final answer
    x = 97,024.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.