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Finding the Third Proportional to 32,099.50 and 46,475

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Solution

The third proportional to 32,099.50 and 46,475 is: 67,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.50 : 46,475 = 46,475 : x
  2. Step 2: Convert to fraction form
    32,099.50/46,475 = 46,475/x
  3. Step 3: Cross multiply
    32,099.50x = 46,475 × 46,475
  4. Step 4: Simplify right side
    32,099.50x = 2,159,925,625
  5. Step 5: Solve for x
    x = 2,159,925,625/32,099.50
  6. Step 6: Final answer
    x = 67,288.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.