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Finding the Third Proportional to 45,641 and 66,436

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Solution

The third proportional to 45,641 and 66,436 is: 96,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,641 : 66,436 = 66,436 : x
  2. Step 2: Convert to fraction form
    45,641/66,436 = 66,436/x
  3. Step 3: Cross multiply
    45,641x = 66,436 × 66,436
  4. Step 4: Simplify right side
    45,641x = 4,413,742,096
  5. Step 5: Solve for x
    x = 4,413,742,096/45,641
  6. Step 6: Final answer
    x = 96,705.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.