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Finding the Third Proportional to 30,316.50 and 65,877.75

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Solution

The third proportional to 30,316.50 and 65,877.75 is: 143,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316.50 : 65,877.75 = 65,877.75 : x
  2. Step 2: Convert to fraction form
    30,316.50/65,877.75 = 65,877.75/x
  3. Step 3: Cross multiply
    30,316.50x = 65,877.75 × 65,877.75
  4. Step 4: Simplify right side
    30,316.50x = 4,339,877,945.06
  5. Step 5: Solve for x
    x = 4,339,877,945.06/30,316.50
  6. Step 6: Final answer
    x = 143,152.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.