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Finding the Third Proportional to 43,428 and 93,624

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Solution

The third proportional to 43,428 and 93,624 is: 201,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,428 : 93,624 = 93,624 : x
  2. Step 2: Convert to fraction form
    43,428/93,624 = 93,624/x
  3. Step 3: Cross multiply
    43,428x = 93,624 × 93,624
  4. Step 4: Simplify right side
    43,428x = 8,765,453,376
  5. Step 5: Solve for x
    x = 8,765,453,376/43,428
  6. Step 6: Final answer
    x = 201,838.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.