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Finding the Third Proportional to 32,460.75 and 59,636.25

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Solution

The third proportional to 32,460.75 and 59,636.25 is: 109,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.75 : 59,636.25 = 59,636.25 : x
  2. Step 2: Convert to fraction form
    32,460.75/59,636.25 = 59,636.25/x
  3. Step 3: Cross multiply
    32,460.75x = 59,636.25 × 59,636.25
  4. Step 4: Simplify right side
    32,460.75x = 3,556,482,314.06
  5. Step 5: Solve for x
    x = 3,556,482,314.06/32,460.75
  6. Step 6: Final answer
    x = 109,562.54

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.