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Finding the Third Proportional to 43,428 and 68,822.25

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Solution

The third proportional to 43,428 and 68,822.25 is: 109,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,428 : 68,822.25 = 68,822.25 : x
  2. Step 2: Convert to fraction form
    43,428/68,822.25 = 68,822.25/x
  3. Step 3: Cross multiply
    43,428x = 68,822.25 × 68,822.25
  4. Step 4: Simplify right side
    43,428x = 4,736,502,095.06
  5. Step 5: Solve for x
    x = 4,736,502,095.06/43,428
  6. Step 6: Final answer
    x = 109,065.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.