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Finding the Third Proportional to 19,632.38 and 42,423.75

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Solution

The third proportional to 19,632.38 and 42,423.75 is: 91,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.38 : 42,423.75 = 42,423.75 : x
  2. Step 2: Convert to fraction form
    19,632.38/42,423.75 = 42,423.75/x
  3. Step 3: Cross multiply
    19,632.38x = 42,423.75 × 42,423.75
  4. Step 4: Simplify right side
    19,632.38x = 1,799,774,564.06
  5. Step 5: Solve for x
    x = 1,799,774,564.06/19,632.38
  6. Step 6: Final answer
    x = 91,673.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.