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Finding the Third Proportional to 42,085.50 and 64,683.75

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Solution

The third proportional to 42,085.50 and 64,683.75 is: 99,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,085.50 : 64,683.75 = 64,683.75 : x
  2. Step 2: Convert to fraction form
    42,085.50/64,683.75 = 64,683.75/x
  3. Step 3: Cross multiply
    42,085.50x = 64,683.75 × 64,683.75
  4. Step 4: Simplify right side
    42,085.50x = 4,183,987,514.06
  5. Step 5: Solve for x
    x = 4,183,987,514.06/42,085.50
  6. Step 6: Final answer
    x = 99,416.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.