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Finding the Third Proportional to 24,802.88 and 58,538.63

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Solution

The third proportional to 24,802.88 and 58,538.63 is: 138,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.88 : 58,538.63 = 58,538.63 : x
  2. Step 2: Convert to fraction form
    24,802.88/58,538.63 = 58,538.63/x
  3. Step 3: Cross multiply
    24,802.88x = 58,538.63 × 58,538.63
  4. Step 4: Simplify right side
    24,802.88x = 3,426,770,616.89
  5. Step 5: Solve for x
    x = 3,426,770,616.89/24,802.88
  6. Step 6: Final answer
    x = 138,160.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.