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Finding the Third Proportional to 30,191 and 44,363

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Solution

The third proportional to 30,191 and 44,363 is: 65,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191 : 44,363 = 44,363 : x
  2. Step 2: Convert to fraction form
    30,191/44,363 = 44,363/x
  3. Step 3: Cross multiply
    30,191x = 44,363 × 44,363
  4. Step 4: Simplify right side
    30,191x = 1,968,075,769
  5. Step 5: Solve for x
    x = 1,968,075,769/30,191
  6. Step 6: Final answer
    x = 65,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.