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Finding the Third Proportional to 10,210.50 and 23,535

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Solution

The third proportional to 10,210.50 and 23,535 is: 54,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.50 : 23,535 = 23,535 : x
  2. Step 2: Convert to fraction form
    10,210.50/23,535 = 23,535/x
  3. Step 3: Cross multiply
    10,210.50x = 23,535 × 23,535
  4. Step 4: Simplify right side
    10,210.50x = 553,896,225
  5. Step 5: Solve for x
    x = 553,896,225/10,210.50
  6. Step 6: Final answer
    x = 54,247.71

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.