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Finding the Third Proportional to 30,748 and 46,400

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Solution

The third proportional to 30,748 and 46,400 is: 70,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748 : 46,400 = 46,400 : x
  2. Step 2: Convert to fraction form
    30,748/46,400 = 46,400/x
  3. Step 3: Cross multiply
    30,748x = 46,400 × 46,400
  4. Step 4: Simplify right side
    30,748x = 2,152,960,000
  5. Step 5: Solve for x
    x = 2,152,960,000/30,748
  6. Step 6: Final answer
    x = 70,019.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.