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Finding the Third Proportional to 9,804 and 15,534

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Solution

The third proportional to 9,804 and 15,534 is: 24,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804 : 15,534 = 15,534 : x
  2. Step 2: Convert to fraction form
    9,804/15,534 = 15,534/x
  3. Step 3: Cross multiply
    9,804x = 15,534 × 15,534
  4. Step 4: Simplify right side
    9,804x = 241,305,156
  5. Step 5: Solve for x
    x = 241,305,156/9,804
  6. Step 6: Final answer
    x = 24,612.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.