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Finding the Third Proportional to 30,588 and 48,668

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Solution

The third proportional to 30,588 and 48,668 is: 77,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588 : 48,668 = 48,668 : x
  2. Step 2: Convert to fraction form
    30,588/48,668 = 48,668/x
  3. Step 3: Cross multiply
    30,588x = 48,668 × 48,668
  4. Step 4: Simplify right side
    30,588x = 2,368,574,224
  5. Step 5: Solve for x
    x = 2,368,574,224/30,588
  6. Step 6: Final answer
    x = 77,434.75

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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.