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Finding the Third Proportional to 35,202 and 54,513

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Solution

The third proportional to 35,202 and 54,513 is: 84,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202 : 54,513 = 54,513 : x
  2. Step 2: Convert to fraction form
    35,202/54,513 = 54,513/x
  3. Step 3: Cross multiply
    35,202x = 54,513 × 54,513
  4. Step 4: Simplify right side
    35,202x = 2,971,667,169
  5. Step 5: Solve for x
    x = 2,971,667,169/35,202
  6. Step 6: Final answer
    x = 84,417.57

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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.