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Finding the Third Proportional to 16,305 and 32,101.50

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Solution

The third proportional to 16,305 and 32,101.50 is: 63,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305 : 32,101.50 = 32,101.50 : x
  2. Step 2: Convert to fraction form
    16,305/32,101.50 = 32,101.50/x
  3. Step 3: Cross multiply
    16,305x = 32,101.50 × 32,101.50
  4. Step 4: Simplify right side
    16,305x = 1,030,506,302.25
  5. Step 5: Solve for x
    x = 1,030,506,302.25/16,305
  6. Step 6: Final answer
    x = 63,201.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.