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Finding the Third Proportional to 3,580 and 6,428

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Solution

The third proportional to 3,580 and 6,428 is: 11,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 6,428 = 6,428 : x
  2. Step 2: Convert to fraction form
    3,580/6,428 = 6,428/x
  3. Step 3: Cross multiply
    3,580x = 6,428 × 6,428
  4. Step 4: Simplify right side
    3,580x = 41,319,184
  5. Step 5: Solve for x
    x = 41,319,184/3,580
  6. Step 6: Final answer
    x = 11,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.