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Finding the Third Proportional to 34,935 and 75,403

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Solution

The third proportional to 34,935 and 75,403 is: 162,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,935 : 75,403 = 75,403 : x
  2. Step 2: Convert to fraction form
    34,935/75,403 = 75,403/x
  3. Step 3: Cross multiply
    34,935x = 75,403 × 75,403
  4. Step 4: Simplify right side
    34,935x = 5,685,612,409
  5. Step 5: Solve for x
    x = 5,685,612,409/34,935
  6. Step 6: Final answer
    x = 162,748.32

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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.