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Finding the Third Proportional to 30,086.44 and 46,587.66

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Solution

The third proportional to 30,086.44 and 46,587.66 is: 72,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086.44 : 46,587.66 = 46,587.66 : x
  2. Step 2: Convert to fraction form
    30,086.44/46,587.66 = 46,587.66/x
  3. Step 3: Cross multiply
    30,086.44x = 46,587.66 × 46,587.66
  4. Step 4: Simplify right side
    30,086.44x = 2,170,409,714.87
  5. Step 5: Solve for x
    x = 2,170,409,714.87/30,086.44
  6. Step 6: Final answer
    x = 72,139.14

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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.