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Finding the Third Proportional to 7,130 and 9,465

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Solution

The third proportional to 7,130 and 9,465 is: 12,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130 : 9,465 = 9,465 : x
  2. Step 2: Convert to fraction form
    7,130/9,465 = 9,465/x
  3. Step 3: Cross multiply
    7,130x = 9,465 × 9,465
  4. Step 4: Simplify right side
    7,130x = 89,586,225
  5. Step 5: Solve for x
    x = 89,586,225/7,130
  6. Step 6: Final answer
    x = 12,564.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.