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Finding the Third Proportional to 7,803 and 17,457

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Solution

The third proportional to 7,803 and 17,457 is: 39,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803 : 17,457 = 17,457 : x
  2. Step 2: Convert to fraction form
    7,803/17,457 = 17,457/x
  3. Step 3: Cross multiply
    7,803x = 17,457 × 17,457
  4. Step 4: Simplify right side
    7,803x = 304,746,849
  5. Step 5: Solve for x
    x = 304,746,849/7,803
  6. Step 6: Final answer
    x = 39,055.09

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.