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Finding the Third Proportional to 29,818 and 47,159

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Solution

The third proportional to 29,818 and 47,159 is: 74,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818 : 47,159 = 47,159 : x
  2. Step 2: Convert to fraction form
    29,818/47,159 = 47,159/x
  3. Step 3: Cross multiply
    29,818x = 47,159 × 47,159
  4. Step 4: Simplify right side
    29,818x = 2,223,971,281
  5. Step 5: Solve for x
    x = 2,223,971,281/29,818
  6. Step 6: Final answer
    x = 74,584.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.