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Finding the Third Proportional to 46,383 and 70,460

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Solution

The third proportional to 46,383 and 70,460 is: 107,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383 : 70,460 = 70,460 : x
  2. Step 2: Convert to fraction form
    46,383/70,460 = 70,460/x
  3. Step 3: Cross multiply
    46,383x = 70,460 × 70,460
  4. Step 4: Simplify right side
    46,383x = 4,964,611,600
  5. Step 5: Solve for x
    x = 4,964,611,600/46,383
  6. Step 6: Final answer
    x = 107,035.16

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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.