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Finding the Third Proportional to 5,699 and 6,428

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Solution

The third proportional to 5,699 and 6,428 is: 7,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699 : 6,428 = 6,428 : x
  2. Step 2: Convert to fraction form
    5,699/6,428 = 6,428/x
  3. Step 3: Cross multiply
    5,699x = 6,428 × 6,428
  4. Step 4: Simplify right side
    5,699x = 41,319,184
  5. Step 5: Solve for x
    x = 41,319,184/5,699
  6. Step 6: Final answer
    x = 7,250.25

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.