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Finding the Third Proportional to 39,653 and 63,751.50

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Solution

The third proportional to 39,653 and 63,751.50 is: 102,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653 : 63,751.50 = 63,751.50 : x
  2. Step 2: Convert to fraction form
    39,653/63,751.50 = 63,751.50/x
  3. Step 3: Cross multiply
    39,653x = 63,751.50 × 63,751.50
  4. Step 4: Simplify right side
    39,653x = 4,064,253,752.25
  5. Step 5: Solve for x
    x = 4,064,253,752.25/39,653
  6. Step 6: Final answer
    x = 102,495.49

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.