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Finding the Third Proportional to 7,473 and 10,473

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Solution

The third proportional to 7,473 and 10,473 is: 14,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473 : 10,473 = 10,473 : x
  2. Step 2: Convert to fraction form
    7,473/10,473 = 10,473/x
  3. Step 3: Cross multiply
    7,473x = 10,473 × 10,473
  4. Step 4: Simplify right side
    7,473x = 109,683,729
  5. Step 5: Solve for x
    x = 109,683,729/7,473
  6. Step 6: Final answer
    x = 14,677.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.