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Finding the Third Proportional to 7,031.18 and 9,888.96

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Solution

The third proportional to 7,031.18 and 9,888.96 is: 13,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.18 : 9,888.96 = 9,888.96 : x
  2. Step 2: Convert to fraction form
    7,031.18/9,888.96 = 9,888.96/x
  3. Step 3: Cross multiply
    7,031.18x = 9,888.96 × 9,888.96
  4. Step 4: Simplify right side
    7,031.18x = 97,791,548.42
  5. Step 5: Solve for x
    x = 97,791,548.42/7,031.18
  6. Step 6: Final answer
    x = 13,908.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.