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Finding the Third Proportional to 47,349 and 101,347

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Solution

The third proportional to 47,349 and 101,347 is: 216,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349 : 101,347 = 101,347 : x
  2. Step 2: Convert to fraction form
    47,349/101,347 = 101,347/x
  3. Step 3: Cross multiply
    47,349x = 101,347 × 101,347
  4. Step 4: Simplify right side
    47,349x = 10,271,214,409
  5. Step 5: Solve for x
    x = 10,271,214,409/47,349
  6. Step 6: Final answer
    x = 216,925.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.