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Finding the Third Proportional to 34,425.32 and 72,984.01

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Solution

The third proportional to 34,425.32 and 72,984.01 is: 154,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,425.32 : 72,984.01 = 72,984.01 : x
  2. Step 2: Convert to fraction form
    34,425.32/72,984.01 = 72,984.01/x
  3. Step 3: Cross multiply
    34,425.32x = 72,984.01 × 72,984.01
  4. Step 4: Simplify right side
    34,425.32x = 5,326,665,111.28
  5. Step 5: Solve for x
    x = 5,326,665,111.28/34,425.32
  6. Step 6: Final answer
    x = 154,731.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.