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Finding the Third Proportional to 24,526 and 37,968

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Solution

The third proportional to 24,526 and 37,968 is: 58,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526 : 37,968 = 37,968 : x
  2. Step 2: Convert to fraction form
    24,526/37,968 = 37,968/x
  3. Step 3: Cross multiply
    24,526x = 37,968 × 37,968
  4. Step 4: Simplify right side
    24,526x = 1,441,569,024
  5. Step 5: Solve for x
    x = 1,441,569,024/24,526
  6. Step 6: Final answer
    x = 58,777.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.