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Finding the Third Proportional to 32,373 and 42,585.75

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Solution

The third proportional to 32,373 and 42,585.75 is: 56,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,373 : 42,585.75 = 42,585.75 : x
  2. Step 2: Convert to fraction form
    32,373/42,585.75 = 42,585.75/x
  3. Step 3: Cross multiply
    32,373x = 42,585.75 × 42,585.75
  4. Step 4: Simplify right side
    32,373x = 1,813,546,103.06
  5. Step 5: Solve for x
    x = 1,813,546,103.06/32,373
  6. Step 6: Final answer
    x = 56,020.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.