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Finding the Third Proportional to 22,214 and 46,480

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Solution

The third proportional to 22,214 and 46,480 is: 97,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214 : 46,480 = 46,480 : x
  2. Step 2: Convert to fraction form
    22,214/46,480 = 46,480/x
  3. Step 3: Cross multiply
    22,214x = 46,480 × 46,480
  4. Step 4: Simplify right side
    22,214x = 2,160,390,400
  5. Step 5: Solve for x
    x = 2,160,390,400/22,214
  6. Step 6: Final answer
    x = 97,253.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.