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Finding the Third Proportional to 30,389 and 46,648

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Solution

The third proportional to 30,389 and 46,648 is: 71,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,389 : 46,648 = 46,648 : x
  2. Step 2: Convert to fraction form
    30,389/46,648 = 46,648/x
  3. Step 3: Cross multiply
    30,389x = 46,648 × 46,648
  4. Step 4: Simplify right side
    30,389x = 2,176,035,904
  5. Step 5: Solve for x
    x = 2,176,035,904/30,389
  6. Step 6: Final answer
    x = 71,606.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.