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Finding the Third Proportional to 25,312 and 50,594

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Solution

The third proportional to 25,312 and 50,594 is: 101,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312 : 50,594 = 50,594 : x
  2. Step 2: Convert to fraction form
    25,312/50,594 = 50,594/x
  3. Step 3: Cross multiply
    25,312x = 50,594 × 50,594
  4. Step 4: Simplify right side
    25,312x = 2,559,752,836
  5. Step 5: Solve for x
    x = 2,559,752,836/25,312
  6. Step 6: Final answer
    x = 101,128.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.