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Finding the Third Proportional to 29,886 and 43,590

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Solution

The third proportional to 29,886 and 43,590 is: 63,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,886 : 43,590 = 43,590 : x
  2. Step 2: Convert to fraction form
    29,886/43,590 = 43,590/x
  3. Step 3: Cross multiply
    29,886x = 43,590 × 43,590
  4. Step 4: Simplify right side
    29,886x = 1,900,088,100
  5. Step 5: Solve for x
    x = 1,900,088,100/29,886
  6. Step 6: Final answer
    x = 63,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.