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Finding the Third Proportional to 35,670.38 and 53,406.84

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Solution

The third proportional to 35,670.38 and 53,406.84 is: 79,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670.38 : 53,406.84 = 53,406.84 : x
  2. Step 2: Convert to fraction form
    35,670.38/53,406.84 = 53,406.84/x
  3. Step 3: Cross multiply
    35,670.38x = 53,406.84 × 53,406.84
  4. Step 4: Simplify right side
    35,670.38x = 2,852,290,959.34
  5. Step 5: Solve for x
    x = 2,852,290,959.34/35,670.38
  6. Step 6: Final answer
    x = 79,962.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.