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Finding the Third Proportional to 46,749 and 63,869.25

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Solution

The third proportional to 46,749 and 63,869.25 is: 87,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,749 : 63,869.25 = 63,869.25 : x
  2. Step 2: Convert to fraction form
    46,749/63,869.25 = 63,869.25/x
  3. Step 3: Cross multiply
    46,749x = 63,869.25 × 63,869.25
  4. Step 4: Simplify right side
    46,749x = 4,079,281,095.56
  5. Step 5: Solve for x
    x = 4,079,281,095.56/46,749
  6. Step 6: Final answer
    x = 87,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.