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Finding the Third Proportional to 35,507 and 77,370

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Solution

The third proportional to 35,507 and 77,370 is: 168,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507 : 77,370 = 77,370 : x
  2. Step 2: Convert to fraction form
    35,507/77,370 = 77,370/x
  3. Step 3: Cross multiply
    35,507x = 77,370 × 77,370
  4. Step 4: Simplify right side
    35,507x = 5,986,116,900
  5. Step 5: Solve for x
    x = 5,986,116,900/35,507
  6. Step 6: Final answer
    x = 168,589.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.