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Finding the Third Proportional to 20,130 and 47,365

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Solution

The third proportional to 20,130 and 47,365 is: 111,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 47,365 = 47,365 : x
  2. Step 2: Convert to fraction form
    20,130/47,365 = 47,365/x
  3. Step 3: Cross multiply
    20,130x = 47,365 × 47,365
  4. Step 4: Simplify right side
    20,130x = 2,243,443,225
  5. Step 5: Solve for x
    x = 2,243,443,225/20,130
  6. Step 6: Final answer
    x = 111,447.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.