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Finding the Third Proportional to 35,307 and 75,730

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Solution

The third proportional to 35,307 and 75,730 is: 162,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,307 : 75,730 = 75,730 : x
  2. Step 2: Convert to fraction form
    35,307/75,730 = 75,730/x
  3. Step 3: Cross multiply
    35,307x = 75,730 × 75,730
  4. Step 4: Simplify right side
    35,307x = 5,735,032,900
  5. Step 5: Solve for x
    x = 5,735,032,900/35,307
  6. Step 6: Final answer
    x = 162,433.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.