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Finding the Third Proportional to 21,656 and 46,535

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Solution

The third proportional to 21,656 and 46,535 is: 99,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656 : 46,535 = 46,535 : x
  2. Step 2: Convert to fraction form
    21,656/46,535 = 46,535/x
  3. Step 3: Cross multiply
    21,656x = 46,535 × 46,535
  4. Step 4: Simplify right side
    21,656x = 2,165,506,225
  5. Step 5: Solve for x
    x = 2,165,506,225/21,656
  6. Step 6: Final answer
    x = 99,995.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.