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Finding the Third Proportional to 35,312.63 and 76,226.91

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Solution

The third proportional to 35,312.63 and 76,226.91 is: 164,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,312.63 : 76,226.91 = 76,226.91 : x
  2. Step 2: Convert to fraction form
    35,312.63/76,226.91 = 76,226.91/x
  3. Step 3: Cross multiply
    35,312.63x = 76,226.91 × 76,226.91
  4. Step 4: Simplify right side
    35,312.63x = 5,810,541,236.45
  5. Step 5: Solve for x
    x = 5,810,541,236.45/35,312.63
  6. Step 6: Final answer
    x = 164,545.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.