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Finding the Third Proportional to 23,215.50 and 49,428

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Solution

The third proportional to 23,215.50 and 49,428 is: 105,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.50 : 49,428 = 49,428 : x
  2. Step 2: Convert to fraction form
    23,215.50/49,428 = 49,428/x
  3. Step 3: Cross multiply
    23,215.50x = 49,428 × 49,428
  4. Step 4: Simplify right side
    23,215.50x = 2,443,127,184
  5. Step 5: Solve for x
    x = 2,443,127,184/23,215.50
  6. Step 6: Final answer
    x = 105,236.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.