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Finding the Third Proportional to 35,776 and 76,478

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Solution

The third proportional to 35,776 and 76,478 is: 163,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776 : 76,478 = 76,478 : x
  2. Step 2: Convert to fraction form
    35,776/76,478 = 76,478/x
  3. Step 3: Cross multiply
    35,776x = 76,478 × 76,478
  4. Step 4: Simplify right side
    35,776x = 5,848,884,484
  5. Step 5: Solve for x
    x = 5,848,884,484/35,776
  6. Step 6: Final answer
    x = 163,486.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.