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Finding the Third Proportional to 30,316 and 46,086

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Solution

The third proportional to 30,316 and 46,086 is: 70,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316 : 46,086 = 46,086 : x
  2. Step 2: Convert to fraction form
    30,316/46,086 = 46,086/x
  3. Step 3: Cross multiply
    30,316x = 46,086 × 46,086
  4. Step 4: Simplify right side
    30,316x = 2,123,919,396
  5. Step 5: Solve for x
    x = 2,123,919,396/30,316
  6. Step 6: Final answer
    x = 70,059.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.