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Finding the Third Proportional to 35,846.30 and 45,158.13

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Solution

The third proportional to 35,846.30 and 45,158.13 is: 56,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846.30 : 45,158.13 = 45,158.13 : x
  2. Step 2: Convert to fraction form
    35,846.30/45,158.13 = 45,158.13/x
  3. Step 3: Cross multiply
    35,846.30x = 45,158.13 × 45,158.13
  4. Step 4: Simplify right side
    35,846.30x = 2,039,256,959.11
  5. Step 5: Solve for x
    x = 2,039,256,959.11/35,846.30
  6. Step 6: Final answer
    x = 56,888.92

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.