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Finding the Third Proportional to 7,748 and 17,624

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Solution

The third proportional to 7,748 and 17,624 is: 40,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 17,624 = 17,624 : x
  2. Step 2: Convert to fraction form
    7,748/17,624 = 17,624/x
  3. Step 3: Cross multiply
    7,748x = 17,624 × 17,624
  4. Step 4: Simplify right side
    7,748x = 310,605,376
  5. Step 5: Solve for x
    x = 310,605,376/7,748
  6. Step 6: Final answer
    x = 40,088.46

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.