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Finding the Third Proportional to 25,148 and 46,732

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Solution

The third proportional to 25,148 and 46,732 is: 86,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148 : 46,732 = 46,732 : x
  2. Step 2: Convert to fraction form
    25,148/46,732 = 46,732/x
  3. Step 3: Cross multiply
    25,148x = 46,732 × 46,732
  4. Step 4: Simplify right side
    25,148x = 2,183,879,824
  5. Step 5: Solve for x
    x = 2,183,879,824/25,148
  6. Step 6: Final answer
    x = 86,841.09

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.