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Finding the Third Proportional to 51,480 and 76,284

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Solution

The third proportional to 51,480 and 76,284 is: 113,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480 : 76,284 = 76,284 : x
  2. Step 2: Convert to fraction form
    51,480/76,284 = 76,284/x
  3. Step 3: Cross multiply
    51,480x = 76,284 × 76,284
  4. Step 4: Simplify right side
    51,480x = 5,819,248,656
  5. Step 5: Solve for x
    x = 5,819,248,656/51,480
  6. Step 6: Final answer
    x = 113,039.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.