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Finding the Third Proportional to 46,380 and 70,455

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Solution

The third proportional to 46,380 and 70,455 is: 107,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,380 : 70,455 = 70,455 : x
  2. Step 2: Convert to fraction form
    46,380/70,455 = 70,455/x
  3. Step 3: Cross multiply
    46,380x = 70,455 × 70,455
  4. Step 4: Simplify right side
    46,380x = 4,963,907,025
  5. Step 5: Solve for x
    x = 4,963,907,025/46,380
  6. Step 6: Final answer
    x = 107,026.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.