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Finding the Third Proportional to 31,590 and 46,089

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Solution

The third proportional to 31,590 and 46,089 is: 67,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590 : 46,089 = 46,089 : x
  2. Step 2: Convert to fraction form
    31,590/46,089 = 46,089/x
  3. Step 3: Cross multiply
    31,590x = 46,089 × 46,089
  4. Step 4: Simplify right side
    31,590x = 2,124,195,921
  5. Step 5: Solve for x
    x = 2,124,195,921/31,590
  6. Step 6: Final answer
    x = 67,242.67

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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.