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Finding the Third Proportional to 16,507 and 35,645

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Solution

The third proportional to 16,507 and 35,645 is: 76,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507 : 35,645 = 35,645 : x
  2. Step 2: Convert to fraction form
    16,507/35,645 = 35,645/x
  3. Step 3: Cross multiply
    16,507x = 35,645 × 35,645
  4. Step 4: Simplify right side
    16,507x = 1,270,566,025
  5. Step 5: Solve for x
    x = 1,270,566,025/16,507
  6. Step 6: Final answer
    x = 76,971.35

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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.