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Finding the Third Proportional to 34,637.63 and 52,204.50

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Solution

The third proportional to 34,637.63 and 52,204.50 is: 78,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,637.63 : 52,204.50 = 52,204.50 : x
  2. Step 2: Convert to fraction form
    34,637.63/52,204.50 = 52,204.50/x
  3. Step 3: Cross multiply
    34,637.63x = 52,204.50 × 52,204.50
  4. Step 4: Simplify right side
    34,637.63x = 2,725,309,820.25
  5. Step 5: Solve for x
    x = 2,725,309,820.25/34,637.63
  6. Step 6: Final answer
    x = 78,680.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.