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Finding the Third Proportional to 22,359 and 35,014.50

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Solution

The third proportional to 22,359 and 35,014.50 is: 54,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359 : 35,014.50 = 35,014.50 : x
  2. Step 2: Convert to fraction form
    22,359/35,014.50 = 35,014.50/x
  3. Step 3: Cross multiply
    22,359x = 35,014.50 × 35,014.50
  4. Step 4: Simplify right side
    22,359x = 1,226,015,210.25
  5. Step 5: Solve for x
    x = 1,226,015,210.25/22,359
  6. Step 6: Final answer
    x = 54,833.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.