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Finding the Third Proportional to 20,315 and 44,428

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Solution

The third proportional to 20,315 and 44,428 is: 97,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315 : 44,428 = 44,428 : x
  2. Step 2: Convert to fraction form
    20,315/44,428 = 44,428/x
  3. Step 3: Cross multiply
    20,315x = 44,428 × 44,428
  4. Step 4: Simplify right side
    20,315x = 1,973,847,184
  5. Step 5: Solve for x
    x = 1,973,847,184/20,315
  6. Step 6: Final answer
    x = 97,162.06

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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.