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Finding the Third Proportional to 42,735 and 66,343.50

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Solution

The third proportional to 42,735 and 66,343.50 is: 102,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735 : 66,343.50 = 66,343.50 : x
  2. Step 2: Convert to fraction form
    42,735/66,343.50 = 66,343.50/x
  3. Step 3: Cross multiply
    42,735x = 66,343.50 × 66,343.50
  4. Step 4: Simplify right side
    42,735x = 4,401,459,992.25
  5. Step 5: Solve for x
    x = 4,401,459,992.25/42,735
  6. Step 6: Final answer
    x = 102,994.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.