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Finding the Third Proportional to 17,524 and 40,528

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Solution

The third proportional to 17,524 and 40,528 is: 93,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524 : 40,528 = 40,528 : x
  2. Step 2: Convert to fraction form
    17,524/40,528 = 40,528/x
  3. Step 3: Cross multiply
    17,524x = 40,528 × 40,528
  4. Step 4: Simplify right side
    17,524x = 1,642,518,784
  5. Step 5: Solve for x
    x = 1,642,518,784/17,524
  6. Step 6: Final answer
    x = 93,729.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.