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Finding the Third Proportional to 35,829 and 77,495

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Solution

The third proportional to 35,829 and 77,495 is: 167,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829 : 77,495 = 77,495 : x
  2. Step 2: Convert to fraction form
    35,829/77,495 = 77,495/x
  3. Step 3: Cross multiply
    35,829x = 77,495 × 77,495
  4. Step 4: Simplify right side
    35,829x = 6,005,475,025
  5. Step 5: Solve for x
    x = 6,005,475,025/35,829
  6. Step 6: Final answer
    x = 167,614.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.