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Finding the Third Proportional to 28,746 and 45,894

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Solution

The third proportional to 28,746 and 45,894 is: 73,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,746 : 45,894 = 45,894 : x
  2. Step 2: Convert to fraction form
    28,746/45,894 = 45,894/x
  3. Step 3: Cross multiply
    28,746x = 45,894 × 45,894
  4. Step 4: Simplify right side
    28,746x = 2,106,259,236
  5. Step 5: Solve for x
    x = 2,106,259,236/28,746
  6. Step 6: Final answer
    x = 73,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.