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Finding the Third Proportional to 10,294 and 11,428

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Solution

The third proportional to 10,294 and 11,428 is: 12,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294 : 11,428 = 11,428 : x
  2. Step 2: Convert to fraction form
    10,294/11,428 = 11,428/x
  3. Step 3: Cross multiply
    10,294x = 11,428 × 11,428
  4. Step 4: Simplify right side
    10,294x = 130,599,184
  5. Step 5: Solve for x
    x = 130,599,184/10,294
  6. Step 6: Final answer
    x = 12,686.92

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.