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Finding the Third Proportional to 30,532.50 and 64,345

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Solution

The third proportional to 30,532.50 and 64,345 is: 135,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.50 : 64,345 = 64,345 : x
  2. Step 2: Convert to fraction form
    30,532.50/64,345 = 64,345/x
  3. Step 3: Cross multiply
    30,532.50x = 64,345 × 64,345
  4. Step 4: Simplify right side
    30,532.50x = 4,140,279,025
  5. Step 5: Solve for x
    x = 4,140,279,025/30,532.50
  6. Step 6: Final answer
    x = 135,602.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.