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Finding the Third Proportional to 15,248 and 22,913

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Solution

The third proportional to 15,248 and 22,913 is: 34,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,248 : 22,913 = 22,913 : x
  2. Step 2: Convert to fraction form
    15,248/22,913 = 22,913/x
  3. Step 3: Cross multiply
    15,248x = 22,913 × 22,913
  4. Step 4: Simplify right side
    15,248x = 525,005,569
  5. Step 5: Solve for x
    x = 525,005,569/15,248
  6. Step 6: Final answer
    x = 34,431.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.