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Finding the Third Proportional to 10,903.50 and 23,534

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Solution

The third proportional to 10,903.50 and 23,534 is: 50,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.50 : 23,534 = 23,534 : x
  2. Step 2: Convert to fraction form
    10,903.50/23,534 = 23,534/x
  3. Step 3: Cross multiply
    10,903.50x = 23,534 × 23,534
  4. Step 4: Simplify right side
    10,903.50x = 553,849,156
  5. Step 5: Solve for x
    x = 553,849,156/10,903.50
  6. Step 6: Final answer
    x = 50,795.54

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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.