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Finding the Third Proportional to 10,416 and 22,609

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Solution

The third proportional to 10,416 and 22,609 is: 49,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 22,609 = 22,609 : x
  2. Step 2: Convert to fraction form
    10,416/22,609 = 22,609/x
  3. Step 3: Cross multiply
    10,416x = 22,609 × 22,609
  4. Step 4: Simplify right side
    10,416x = 511,166,881
  5. Step 5: Solve for x
    x = 511,166,881/10,416
  6. Step 6: Final answer
    x = 49,075.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.