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Finding the Third Proportional to 9,472.88 and 13,271.63

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Solution

The third proportional to 9,472.88 and 13,271.63 is: 18,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.88 : 13,271.63 = 13,271.63 : x
  2. Step 2: Convert to fraction form
    9,472.88/13,271.63 = 13,271.63/x
  3. Step 3: Cross multiply
    9,472.88x = 13,271.63 × 13,271.63
  4. Step 4: Simplify right side
    9,472.88x = 176,136,030.14
  5. Step 5: Solve for x
    x = 176,136,030.14/9,472.88
  6. Step 6: Final answer
    x = 18,593.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.