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Finding the Third Proportional to 30,200 and 46,712

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Solution

The third proportional to 30,200 and 46,712 is: 72,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200 : 46,712 = 46,712 : x
  2. Step 2: Convert to fraction form
    30,200/46,712 = 46,712/x
  3. Step 3: Cross multiply
    30,200x = 46,712 × 46,712
  4. Step 4: Simplify right side
    30,200x = 2,182,010,944
  5. Step 5: Solve for x
    x = 2,182,010,944/30,200
  6. Step 6: Final answer
    x = 72,252.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.