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Finding the Third Proportional to 35,569.13 and 77,413.22

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Solution

The third proportional to 35,569.13 and 77,413.22 is: 168,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569.13 : 77,413.22 = 77,413.22 : x
  2. Step 2: Convert to fraction form
    35,569.13/77,413.22 = 77,413.22/x
  3. Step 3: Cross multiply
    35,569.13x = 77,413.22 × 77,413.22
  4. Step 4: Simplify right side
    35,569.13x = 5,992,806,437.24
  5. Step 5: Solve for x
    x = 5,992,806,437.24/35,569.13
  6. Step 6: Final answer
    x = 168,483.38

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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.