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Finding the Third Proportional to 7,430.63 and 8,281.13

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Solution

The third proportional to 7,430.63 and 8,281.13 is: 9,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.63 : 8,281.13 = 8,281.13 : x
  2. Step 2: Convert to fraction form
    7,430.63/8,281.13 = 8,281.13/x
  3. Step 3: Cross multiply
    7,430.63x = 8,281.13 × 8,281.13
  4. Step 4: Simplify right side
    7,430.63x = 68,577,031.27
  5. Step 5: Solve for x
    x = 68,577,031.27/7,430.63
  6. Step 6: Final answer
    x = 9,228.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.