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Finding the Third Proportional to 9,358 and 18,076

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Solution

The third proportional to 9,358 and 18,076 is: 34,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358 : 18,076 = 18,076 : x
  2. Step 2: Convert to fraction form
    9,358/18,076 = 18,076/x
  3. Step 3: Cross multiply
    9,358x = 18,076 × 18,076
  4. Step 4: Simplify right side
    9,358x = 326,741,776
  5. Step 5: Solve for x
    x = 326,741,776/9,358
  6. Step 6: Final answer
    x = 34,915.77

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.