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Finding the Third Proportional to 10,790 and 23,354

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Solution

The third proportional to 10,790 and 23,354 is: 50,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790 : 23,354 = 23,354 : x
  2. Step 2: Convert to fraction form
    10,790/23,354 = 23,354/x
  3. Step 3: Cross multiply
    10,790x = 23,354 × 23,354
  4. Step 4: Simplify right side
    10,790x = 545,409,316
  5. Step 5: Solve for x
    x = 545,409,316/10,790
  6. Step 6: Final answer
    x = 50,547.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.