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Finding the Third Proportional to 25,034 and 46,915

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Solution

The third proportional to 25,034 and 46,915 is: 87,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,034 : 46,915 = 46,915 : x
  2. Step 2: Convert to fraction form
    25,034/46,915 = 46,915/x
  3. Step 3: Cross multiply
    25,034x = 46,915 × 46,915
  4. Step 4: Simplify right side
    25,034x = 2,201,017,225
  5. Step 5: Solve for x
    x = 2,201,017,225/25,034
  6. Step 6: Final answer
    x = 87,921.12

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.