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Finding the Third Proportional to 19,632 and 42,415.13

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Solution

The third proportional to 19,632 and 42,415.13 is: 91,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 42,415.13 = 42,415.13 : x
  2. Step 2: Convert to fraction form
    19,632/42,415.13 = 42,415.13/x
  3. Step 3: Cross multiply
    19,632x = 42,415.13 × 42,415.13
  4. Step 4: Simplify right side
    19,632x = 1,799,042,828.77
  5. Step 5: Solve for x
    x = 1,799,042,828.77/19,632
  6. Step 6: Final answer
    x = 91,638.29

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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.