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Finding the Third Proportional to 35,058 and 54,316

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Solution

The third proportional to 35,058 and 54,316 is: 84,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,058 : 54,316 = 54,316 : x
  2. Step 2: Convert to fraction form
    35,058/54,316 = 54,316/x
  3. Step 3: Cross multiply
    35,058x = 54,316 × 54,316
  4. Step 4: Simplify right side
    35,058x = 2,950,227,856
  5. Step 5: Solve for x
    x = 2,950,227,856/35,058
  6. Step 6: Final answer
    x = 84,152.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.