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Finding the Third Proportional to 22,707 and 49,045.50

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Solution

The third proportional to 22,707 and 49,045.50 is: 105,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707 : 49,045.50 = 49,045.50 : x
  2. Step 2: Convert to fraction form
    22,707/49,045.50 = 49,045.50/x
  3. Step 3: Cross multiply
    22,707x = 49,045.50 × 49,045.50
  4. Step 4: Simplify right side
    22,707x = 2,405,461,070.25
  5. Step 5: Solve for x
    x = 2,405,461,070.25/22,707
  6. Step 6: Final answer
    x = 105,934.78

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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.