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Finding the Third Proportional to 24,579 and 37,072

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Solution

The third proportional to 24,579 and 37,072 is: 55,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,579 : 37,072 = 37,072 : x
  2. Step 2: Convert to fraction form
    24,579/37,072 = 37,072/x
  3. Step 3: Cross multiply
    24,579x = 37,072 × 37,072
  4. Step 4: Simplify right side
    24,579x = 1,374,333,184
  5. Step 5: Solve for x
    x = 1,374,333,184/24,579
  6. Step 6: Final answer
    x = 55,914.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.