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Finding the Third Proportional to 20,050 and 30,547

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Solution

The third proportional to 20,050 and 30,547 is: 46,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 30,547 = 30,547 : x
  2. Step 2: Convert to fraction form
    20,050/30,547 = 30,547/x
  3. Step 3: Cross multiply
    20,050x = 30,547 × 30,547
  4. Step 4: Simplify right side
    20,050x = 933,119,209
  5. Step 5: Solve for x
    x = 933,119,209/20,050
  6. Step 6: Final answer
    x = 46,539.61

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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.