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Finding the Third Proportional to 4,312 and 10,022

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Solution

The third proportional to 4,312 and 10,022 is: 23,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312 : 10,022 = 10,022 : x
  2. Step 2: Convert to fraction form
    4,312/10,022 = 10,022/x
  3. Step 3: Cross multiply
    4,312x = 10,022 × 10,022
  4. Step 4: Simplify right side
    4,312x = 100,440,484
  5. Step 5: Solve for x
    x = 100,440,484/4,312
  6. Step 6: Final answer
    x = 23,293.25

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.