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Finding the Third Proportional to 10,275 and 15,916.50

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Solution

The third proportional to 10,275 and 15,916.50 is: 24,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275 : 15,916.50 = 15,916.50 : x
  2. Step 2: Convert to fraction form
    10,275/15,916.50 = 15,916.50/x
  3. Step 3: Cross multiply
    10,275x = 15,916.50 × 15,916.50
  4. Step 4: Simplify right side
    10,275x = 253,334,972.25
  5. Step 5: Solve for x
    x = 253,334,972.25/10,275
  6. Step 6: Final answer
    x = 24,655.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.