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Finding the Third Proportional to 35,663.63 and 77,486.63

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Solution

The third proportional to 35,663.63 and 77,486.63 is: 168,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,663.63 : 77,486.63 = 77,486.63 : x
  2. Step 2: Convert to fraction form
    35,663.63/77,486.63 = 77,486.63/x
  3. Step 3: Cross multiply
    35,663.63x = 77,486.63 × 77,486.63
  4. Step 4: Simplify right side
    35,663.63x = 6,004,177,053.89
  5. Step 5: Solve for x
    x = 6,004,177,053.89/35,663.63
  6. Step 6: Final answer
    x = 168,355.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.