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Finding the Third Proportional to 46,439 and 70,090.50

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Solution

The third proportional to 46,439 and 70,090.50 is: 105,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,439 : 70,090.50 = 70,090.50 : x
  2. Step 2: Convert to fraction form
    46,439/70,090.50 = 70,090.50/x
  3. Step 3: Cross multiply
    46,439x = 70,090.50 × 70,090.50
  4. Step 4: Simplify right side
    46,439x = 4,912,678,190.25
  5. Step 5: Solve for x
    x = 4,912,678,190.25/46,439
  6. Step 6: Final answer
    x = 105,787.77

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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.