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Finding the Third Proportional to 24,526 and 37,745

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Solution

The third proportional to 24,526 and 37,745 is: 58,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526 : 37,745 = 37,745 : x
  2. Step 2: Convert to fraction form
    24,526/37,745 = 37,745/x
  3. Step 3: Cross multiply
    24,526x = 37,745 × 37,745
  4. Step 4: Simplify right side
    24,526x = 1,424,685,025
  5. Step 5: Solve for x
    x = 1,424,685,025/24,526
  6. Step 6: Final answer
    x = 58,088.76

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Why These Related Problems?

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