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Finding the Third Proportional to 13,905 and 32,810.25

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Solution

The third proportional to 13,905 and 32,810.25 is: 77,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 32,810.25 = 32,810.25 : x
  2. Step 2: Convert to fraction form
    13,905/32,810.25 = 32,810.25/x
  3. Step 3: Cross multiply
    13,905x = 32,810.25 × 32,810.25
  4. Step 4: Simplify right side
    13,905x = 1,076,512,505.06
  5. Step 5: Solve for x
    x = 1,076,512,505.06/13,905
  6. Step 6: Final answer
    x = 77,419.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.