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Finding the Third Proportional to 35,295.75 and 77,243.63

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Solution

The third proportional to 35,295.75 and 77,243.63 is: 169,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.75 : 77,243.63 = 77,243.63 : x
  2. Step 2: Convert to fraction form
    35,295.75/77,243.63 = 77,243.63/x
  3. Step 3: Cross multiply
    35,295.75x = 77,243.63 × 77,243.63
  4. Step 4: Simplify right side
    35,295.75x = 5,966,577,603.14
  5. Step 5: Solve for x
    x = 5,966,577,603.14/35,295.75
  6. Step 6: Final answer
    x = 169,045.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.