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Finding the Third Proportional to 22,347 and 46,548

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Solution

The third proportional to 22,347 and 46,548 is: 96,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347 : 46,548 = 46,548 : x
  2. Step 2: Convert to fraction form
    22,347/46,548 = 46,548/x
  3. Step 3: Cross multiply
    22,347x = 46,548 × 46,548
  4. Step 4: Simplify right side
    22,347x = 2,166,716,304
  5. Step 5: Solve for x
    x = 2,166,716,304/22,347
  6. Step 6: Final answer
    x = 96,957.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.