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Finding the Third Proportional to 9,947.63 and 15,526.88

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Solution

The third proportional to 9,947.63 and 15,526.88 is: 24,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.63 : 15,526.88 = 15,526.88 : x
  2. Step 2: Convert to fraction form
    9,947.63/15,526.88 = 15,526.88/x
  3. Step 3: Cross multiply
    9,947.63x = 15,526.88 × 15,526.88
  4. Step 4: Simplify right side
    9,947.63x = 241,083,847.27
  5. Step 5: Solve for x
    x = 241,083,847.27/9,947.63
  6. Step 6: Final answer
    x = 24,235.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.