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Finding the Third Proportional to 22,306 and 48,716

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Solution

The third proportional to 22,306 and 48,716 is: 106,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306 : 48,716 = 48,716 : x
  2. Step 2: Convert to fraction form
    22,306/48,716 = 48,716/x
  3. Step 3: Cross multiply
    22,306x = 48,716 × 48,716
  4. Step 4: Simplify right side
    22,306x = 2,373,248,656
  5. Step 5: Solve for x
    x = 2,373,248,656/22,306
  6. Step 6: Final answer
    x = 106,395.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.