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Finding the Third Proportional to 30,784 and 49,576

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Solution

The third proportional to 30,784 and 49,576 is: 79,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784 : 49,576 = 49,576 : x
  2. Step 2: Convert to fraction form
    30,784/49,576 = 49,576/x
  3. Step 3: Cross multiply
    30,784x = 49,576 × 49,576
  4. Step 4: Simplify right side
    30,784x = 2,457,779,776
  5. Step 5: Solve for x
    x = 2,457,779,776/30,784
  6. Step 6: Final answer
    x = 79,839.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.