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Finding the Third Proportional to 20,354 and 44,596

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Solution

The third proportional to 20,354 and 44,596 is: 97,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354 : 44,596 = 44,596 : x
  2. Step 2: Convert to fraction form
    20,354/44,596 = 44,596/x
  3. Step 3: Cross multiply
    20,354x = 44,596 × 44,596
  4. Step 4: Simplify right side
    20,354x = 1,988,803,216
  5. Step 5: Solve for x
    x = 1,988,803,216/20,354
  6. Step 6: Final answer
    x = 97,710.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.