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Finding the Third Proportional to 32,445 and 50,101.50

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Solution

The third proportional to 32,445 and 50,101.50 is: 77,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445 : 50,101.50 = 50,101.50 : x
  2. Step 2: Convert to fraction form
    32,445/50,101.50 = 50,101.50/x
  3. Step 3: Cross multiply
    32,445x = 50,101.50 × 50,101.50
  4. Step 4: Simplify right side
    32,445x = 2,510,160,302.25
  5. Step 5: Solve for x
    x = 2,510,160,302.25/32,445
  6. Step 6: Final answer
    x = 77,366.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.