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Finding the Third Proportional to 35,507 and 55,396

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Solution

The third proportional to 35,507 and 55,396 is: 86,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507 : 55,396 = 55,396 : x
  2. Step 2: Convert to fraction form
    35,507/55,396 = 55,396/x
  3. Step 3: Cross multiply
    35,507x = 55,396 × 55,396
  4. Step 4: Simplify right side
    35,507x = 3,068,716,816
  5. Step 5: Solve for x
    x = 3,068,716,816/35,507
  6. Step 6: Final answer
    x = 86,425.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.