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Finding the Third Proportional to 5,258 and 7,702

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Solution

The third proportional to 5,258 and 7,702 is: 11,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 7,702 = 7,702 : x
  2. Step 2: Convert to fraction form
    5,258/7,702 = 7,702/x
  3. Step 3: Cross multiply
    5,258x = 7,702 × 7,702
  4. Step 4: Simplify right side
    5,258x = 59,320,804
  5. Step 5: Solve for x
    x = 59,320,804/5,258
  6. Step 6: Final answer
    x = 11,282.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.