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Finding the Third Proportional to 10,293 and 21,312.75

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Solution

The third proportional to 10,293 and 21,312.75 is: 44,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293 : 21,312.75 = 21,312.75 : x
  2. Step 2: Convert to fraction form
    10,293/21,312.75 = 21,312.75/x
  3. Step 3: Cross multiply
    10,293x = 21,312.75 × 21,312.75
  4. Step 4: Simplify right side
    10,293x = 454,233,312.56
  5. Step 5: Solve for x
    x = 454,233,312.56/10,293
  6. Step 6: Final answer
    x = 44,130.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.