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Finding the Third Proportional to 30,960 and 46,510

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Solution

The third proportional to 30,960 and 46,510 is: 69,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960 : 46,510 = 46,510 : x
  2. Step 2: Convert to fraction form
    30,960/46,510 = 46,510/x
  3. Step 3: Cross multiply
    30,960x = 46,510 × 46,510
  4. Step 4: Simplify right side
    30,960x = 2,163,180,100
  5. Step 5: Solve for x
    x = 2,163,180,100/30,960
  6. Step 6: Final answer
    x = 69,870.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.