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Finding the Third Proportional to 35,319 and 76,470

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Solution

The third proportional to 35,319 and 76,470 is: 165,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319 : 76,470 = 76,470 : x
  2. Step 2: Convert to fraction form
    35,319/76,470 = 76,470/x
  3. Step 3: Cross multiply
    35,319x = 76,470 × 76,470
  4. Step 4: Simplify right side
    35,319x = 5,847,660,900
  5. Step 5: Solve for x
    x = 5,847,660,900/35,319
  6. Step 6: Final answer
    x = 165,567.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.