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Finding the Third Proportional to 22,282 and 46,706

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Solution

The third proportional to 22,282 and 46,706 is: 97,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282 : 46,706 = 46,706 : x
  2. Step 2: Convert to fraction form
    22,282/46,706 = 46,706/x
  3. Step 3: Cross multiply
    22,282x = 46,706 × 46,706
  4. Step 4: Simplify right side
    22,282x = 2,181,450,436
  5. Step 5: Solve for x
    x = 2,181,450,436/22,282
  6. Step 6: Final answer
    x = 97,901.91

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