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Finding the Third Proportional to 47,866 and 70,417

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Solution

The third proportional to 47,866 and 70,417 is: 103,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,866 : 70,417 = 70,417 : x
  2. Step 2: Convert to fraction form
    47,866/70,417 = 70,417/x
  3. Step 3: Cross multiply
    47,866x = 70,417 × 70,417
  4. Step 4: Simplify right side
    47,866x = 4,958,553,889
  5. Step 5: Solve for x
    x = 4,958,553,889/47,866
  6. Step 6: Final answer
    x = 103,592.40

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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.