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Finding the Third Proportional to 17,875 and 26,507

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Solution

The third proportional to 17,875 and 26,507 is: 39,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875 : 26,507 = 26,507 : x
  2. Step 2: Convert to fraction form
    17,875/26,507 = 26,507/x
  3. Step 3: Cross multiply
    17,875x = 26,507 × 26,507
  4. Step 4: Simplify right side
    17,875x = 702,621,049
  5. Step 5: Solve for x
    x = 702,621,049/17,875
  6. Step 6: Final answer
    x = 39,307.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.