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Finding the Third Proportional to 22,428 and 48,784.50

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Solution

The third proportional to 22,428 and 48,784.50 is: 106,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428 : 48,784.50 = 48,784.50 : x
  2. Step 2: Convert to fraction form
    22,428/48,784.50 = 48,784.50/x
  3. Step 3: Cross multiply
    22,428x = 48,784.50 × 48,784.50
  4. Step 4: Simplify right side
    22,428x = 2,379,927,440.25
  5. Step 5: Solve for x
    x = 2,379,927,440.25/22,428
  6. Step 6: Final answer
    x = 106,114.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.