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Finding the Third Proportional to 32,355 and 51,653

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Solution

The third proportional to 32,355 and 51,653 is: 82,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355 : 51,653 = 51,653 : x
  2. Step 2: Convert to fraction form
    32,355/51,653 = 51,653/x
  3. Step 3: Cross multiply
    32,355x = 51,653 × 51,653
  4. Step 4: Simplify right side
    32,355x = 2,668,032,409
  5. Step 5: Solve for x
    x = 2,668,032,409/32,355
  6. Step 6: Final answer
    x = 82,461.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.