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Finding the Third Proportional to 7,428 and 17,534

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Solution

The third proportional to 7,428 and 17,534 is: 41,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 17,534 = 17,534 : x
  2. Step 2: Convert to fraction form
    7,428/17,534 = 17,534/x
  3. Step 3: Cross multiply
    7,428x = 17,534 × 17,534
  4. Step 4: Simplify right side
    7,428x = 307,441,156
  5. Step 5: Solve for x
    x = 307,441,156/7,428
  6. Step 6: Final answer
    x = 41,389.49

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Why These Related Problems?

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