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Finding the Third Proportional to 47,646 and 70,047

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Solution

The third proportional to 47,646 and 70,047 is: 102,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646 : 70,047 = 70,047 : x
  2. Step 2: Convert to fraction form
    47,646/70,047 = 70,047/x
  3. Step 3: Cross multiply
    47,646x = 70,047 × 70,047
  4. Step 4: Simplify right side
    47,646x = 4,906,582,209
  5. Step 5: Solve for x
    x = 4,906,582,209/47,646
  6. Step 6: Final answer
    x = 102,979.94

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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.