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Finding the Third Proportional to 22,649.50 and 53,294.50

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Solution

The third proportional to 22,649.50 and 53,294.50 is: 125,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.50 : 53,294.50 = 53,294.50 : x
  2. Step 2: Convert to fraction form
    22,649.50/53,294.50 = 53,294.50/x
  3. Step 3: Cross multiply
    22,649.50x = 53,294.50 × 53,294.50
  4. Step 4: Simplify right side
    22,649.50x = 2,840,303,730.25
  5. Step 5: Solve for x
    x = 2,840,303,730.25/22,649.50
  6. Step 6: Final answer
    x = 125,402.49

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.