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Finding the Third Proportional to 46,383 and 70,003.50

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Solution

The third proportional to 46,383 and 70,003.50 is: 105,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383 : 70,003.50 = 70,003.50 : x
  2. Step 2: Convert to fraction form
    46,383/70,003.50 = 70,003.50/x
  3. Step 3: Cross multiply
    46,383x = 70,003.50 × 70,003.50
  4. Step 4: Simplify right side
    46,383x = 4,900,490,012.25
  5. Step 5: Solve for x
    x = 4,900,490,012.25/46,383
  6. Step 6: Final answer
    x = 105,652.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.