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Finding the Third Proportional to 24,188.06 and 37,360.13

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Solution

The third proportional to 24,188.06 and 37,360.13 is: 57,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.06 : 37,360.13 = 37,360.13 : x
  2. Step 2: Convert to fraction form
    24,188.06/37,360.13 = 37,360.13/x
  3. Step 3: Cross multiply
    24,188.06x = 37,360.13 × 37,360.13
  4. Step 4: Simplify right side
    24,188.06x = 1,395,778,940.02
  5. Step 5: Solve for x
    x = 1,395,778,940.02/24,188.06
  6. Step 6: Final answer
    x = 57,705.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.