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Finding the Third Proportional to 7,056 and 10,304

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Solution

The third proportional to 7,056 and 10,304 is: 15,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 10,304 = 10,304 : x
  2. Step 2: Convert to fraction form
    7,056/10,304 = 10,304/x
  3. Step 3: Cross multiply
    7,056x = 10,304 × 10,304
  4. Step 4: Simplify right side
    7,056x = 106,172,416
  5. Step 5: Solve for x
    x = 106,172,416/7,056
  6. Step 6: Final answer
    x = 15,047.11

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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.