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Finding the Third Proportional to 22,283 and 46,726

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Solution

The third proportional to 22,283 and 46,726 is: 97,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283 : 46,726 = 46,726 : x
  2. Step 2: Convert to fraction form
    22,283/46,726 = 46,726/x
  3. Step 3: Cross multiply
    22,283x = 46,726 × 46,726
  4. Step 4: Simplify right side
    22,283x = 2,183,319,076
  5. Step 5: Solve for x
    x = 2,183,319,076/22,283
  6. Step 6: Final answer
    x = 97,981.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.