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Finding the Third Proportional to 23,533.50 and 32,985

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Solution

The third proportional to 23,533.50 and 32,985 is: 46,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.50 : 32,985 = 32,985 : x
  2. Step 2: Convert to fraction form
    23,533.50/32,985 = 32,985/x
  3. Step 3: Cross multiply
    23,533.50x = 32,985 × 32,985
  4. Step 4: Simplify right side
    23,533.50x = 1,088,010,225
  5. Step 5: Solve for x
    x = 1,088,010,225/23,533.50
  6. Step 6: Final answer
    x = 46,232.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.