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Finding the Third Proportional to 19,248 and 29,433

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Solution

The third proportional to 19,248 and 29,433 is: 45,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 29,433 = 29,433 : x
  2. Step 2: Convert to fraction form
    19,248/29,433 = 29,433/x
  3. Step 3: Cross multiply
    19,248x = 29,433 × 29,433
  4. Step 4: Simplify right side
    19,248x = 866,301,489
  5. Step 5: Solve for x
    x = 866,301,489/19,248
  6. Step 6: Final answer
    x = 45,007.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.