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Finding the Third Proportional to 31,458 and 47,590

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Solution

The third proportional to 31,458 and 47,590 is: 71,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458 : 47,590 = 47,590 : x
  2. Step 2: Convert to fraction form
    31,458/47,590 = 47,590/x
  3. Step 3: Cross multiply
    31,458x = 47,590 × 47,590
  4. Step 4: Simplify right side
    31,458x = 2,264,808,100
  5. Step 5: Solve for x
    x = 2,264,808,100/31,458
  6. Step 6: Final answer
    x = 71,994.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.