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Finding the Third Proportional to 49,364 and 72,304

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Solution

The third proportional to 49,364 and 72,304 is: 105,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,364 : 72,304 = 72,304 : x
  2. Step 2: Convert to fraction form
    49,364/72,304 = 72,304/x
  3. Step 3: Cross multiply
    49,364x = 72,304 × 72,304
  4. Step 4: Simplify right side
    49,364x = 5,227,868,416
  5. Step 5: Solve for x
    x = 5,227,868,416/49,364
  6. Step 6: Final answer
    x = 105,904.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.