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Finding the Third Proportional to 64,005 and 84,931.50

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Solution

The third proportional to 64,005 and 84,931.50 is: 112,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005 : 84,931.50 = 84,931.50 : x
  2. Step 2: Convert to fraction form
    64,005/84,931.50 = 84,931.50/x
  3. Step 3: Cross multiply
    64,005x = 84,931.50 × 84,931.50
  4. Step 4: Simplify right side
    64,005x = 7,213,359,692.25
  5. Step 5: Solve for x
    x = 7,213,359,692.25/64,005
  6. Step 6: Final answer
    x = 112,699.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.