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Finding the Third Proportional to 34,820.50 and 53,047

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Solution

The third proportional to 34,820.50 and 53,047 is: 80,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,820.50 : 53,047 = 53,047 : x
  2. Step 2: Convert to fraction form
    34,820.50/53,047 = 53,047/x
  3. Step 3: Cross multiply
    34,820.50x = 53,047 × 53,047
  4. Step 4: Simplify right side
    34,820.50x = 2,813,984,209
  5. Step 5: Solve for x
    x = 2,813,984,209/34,820.50
  6. Step 6: Final answer
    x = 80,814.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.