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Finding the Third Proportional to 7,358 and 10,482

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Solution

The third proportional to 7,358 and 10,482 is: 14,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358 : 10,482 = 10,482 : x
  2. Step 2: Convert to fraction form
    7,358/10,482 = 10,482/x
  3. Step 3: Cross multiply
    7,358x = 10,482 × 10,482
  4. Step 4: Simplify right side
    7,358x = 109,872,324
  5. Step 5: Solve for x
    x = 109,872,324/7,358
  6. Step 6: Final answer
    x = 14,932.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.