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Finding the Third Proportional to 10,030 and 23,216

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Solution

The third proportional to 10,030 and 23,216 is: 53,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 23,216 = 23,216 : x
  2. Step 2: Convert to fraction form
    10,030/23,216 = 23,216/x
  3. Step 3: Cross multiply
    10,030x = 23,216 × 23,216
  4. Step 4: Simplify right side
    10,030x = 538,982,656
  5. Step 5: Solve for x
    x = 538,982,656/10,030
  6. Step 6: Final answer
    x = 53,737.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.