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Finding the Third Proportional to 32,316 and 68,536.50

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Solution

The third proportional to 32,316 and 68,536.50 is: 145,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,316 : 68,536.50 = 68,536.50 : x
  2. Step 2: Convert to fraction form
    32,316/68,536.50 = 68,536.50/x
  3. Step 3: Cross multiply
    32,316x = 68,536.50 × 68,536.50
  4. Step 4: Simplify right side
    32,316x = 4,697,251,832.25
  5. Step 5: Solve for x
    x = 4,697,251,832.25/32,316
  6. Step 6: Final answer
    x = 145,353.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.