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Finding the Third Proportional to 31,312 and 46,984

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Solution

The third proportional to 31,312 and 46,984 is: 70,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312 : 46,984 = 46,984 : x
  2. Step 2: Convert to fraction form
    31,312/46,984 = 46,984/x
  3. Step 3: Cross multiply
    31,312x = 46,984 × 46,984
  4. Step 4: Simplify right side
    31,312x = 2,207,496,256
  5. Step 5: Solve for x
    x = 2,207,496,256/31,312
  6. Step 6: Final answer
    x = 70,500.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.