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Finding the Third Proportional to 30,590 and 47,032

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Solution

The third proportional to 30,590 and 47,032 is: 72,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590 : 47,032 = 47,032 : x
  2. Step 2: Convert to fraction form
    30,590/47,032 = 47,032/x
  3. Step 3: Cross multiply
    30,590x = 47,032 × 47,032
  4. Step 4: Simplify right side
    30,590x = 2,212,009,024
  5. Step 5: Solve for x
    x = 2,212,009,024/30,590
  6. Step 6: Final answer
    x = 72,311.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.