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Finding the Third Proportional to 29,413.13 and 63,959.63

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Solution

The third proportional to 29,413.13 and 63,959.63 is: 139,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,413.13 : 63,959.63 = 63,959.63 : x
  2. Step 2: Convert to fraction form
    29,413.13/63,959.63 = 63,959.63/x
  3. Step 3: Cross multiply
    29,413.13x = 63,959.63 × 63,959.63
  4. Step 4: Simplify right side
    29,413.13x = 4,090,833,630.14
  5. Step 5: Solve for x
    x = 4,090,833,630.14/29,413.13
  6. Step 6: Final answer
    x = 139,081.91

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