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Finding the Third Proportional to 10,484 and 16,365

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Solution

The third proportional to 10,484 and 16,365 is: 25,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 16,365 = 16,365 : x
  2. Step 2: Convert to fraction form
    10,484/16,365 = 16,365/x
  3. Step 3: Cross multiply
    10,484x = 16,365 × 16,365
  4. Step 4: Simplify right side
    10,484x = 267,813,225
  5. Step 5: Solve for x
    x = 267,813,225/10,484
  6. Step 6: Final answer
    x = 25,544.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.