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Finding the Third Proportional to 30,590 and 47,646

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Solution

The third proportional to 30,590 and 47,646 is: 74,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590 : 47,646 = 47,646 : x
  2. Step 2: Convert to fraction form
    30,590/47,646 = 47,646/x
  3. Step 3: Cross multiply
    30,590x = 47,646 × 47,646
  4. Step 4: Simplify right side
    30,590x = 2,270,141,316
  5. Step 5: Solve for x
    x = 2,270,141,316/30,590
  6. Step 6: Final answer
    x = 74,211.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.