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Finding the Third Proportional to 30,959 and 46,365

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Solution

The third proportional to 30,959 and 46,365 is: 69,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959 : 46,365 = 46,365 : x
  2. Step 2: Convert to fraction form
    30,959/46,365 = 46,365/x
  3. Step 3: Cross multiply
    30,959x = 46,365 × 46,365
  4. Step 4: Simplify right side
    30,959x = 2,149,713,225
  5. Step 5: Solve for x
    x = 2,149,713,225/30,959
  6. Step 6: Final answer
    x = 69,437.42

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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.