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Finding the Third Proportional to 30,554 and 48,681

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Solution

The third proportional to 30,554 and 48,681 is: 77,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,554 : 48,681 = 48,681 : x
  2. Step 2: Convert to fraction form
    30,554/48,681 = 48,681/x
  3. Step 3: Cross multiply
    30,554x = 48,681 × 48,681
  4. Step 4: Simplify right side
    30,554x = 2,369,839,761
  5. Step 5: Solve for x
    x = 2,369,839,761/30,554
  6. Step 6: Final answer
    x = 77,562.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.