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Finding the Third Proportional to 6,258 and 7,473

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Solution

The third proportional to 6,258 and 7,473 is: 8,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258 : 7,473 = 7,473 : x
  2. Step 2: Convert to fraction form
    6,258/7,473 = 7,473/x
  3. Step 3: Cross multiply
    6,258x = 7,473 × 7,473
  4. Step 4: Simplify right side
    6,258x = 55,845,729
  5. Step 5: Solve for x
    x = 55,845,729/6,258
  6. Step 6: Final answer
    x = 8,923.89

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.