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Finding the Third Proportional to 9,444 and 22,310

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Solution

The third proportional to 9,444 and 22,310 is: 52,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444 : 22,310 = 22,310 : x
  2. Step 2: Convert to fraction form
    9,444/22,310 = 22,310/x
  3. Step 3: Cross multiply
    9,444x = 22,310 × 22,310
  4. Step 4: Simplify right side
    9,444x = 497,736,100
  5. Step 5: Solve for x
    x = 497,736,100/9,444
  6. Step 6: Final answer
    x = 52,703.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.