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Finding the Third Proportional to 7,748 and 16,465

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Solution

The third proportional to 7,748 and 16,465 is: 34,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 16,465 = 16,465 : x
  2. Step 2: Convert to fraction form
    7,748/16,465 = 16,465/x
  3. Step 3: Cross multiply
    7,748x = 16,465 × 16,465
  4. Step 4: Simplify right side
    7,748x = 271,096,225
  5. Step 5: Solve for x
    x = 271,096,225/7,748
  6. Step 6: Final answer
    x = 34,989.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.