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Finding the Third Proportional to 7,528 and 17,708

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Solution

The third proportional to 7,528 and 17,708 is: 41,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528 : 17,708 = 17,708 : x
  2. Step 2: Convert to fraction form
    7,528/17,708 = 17,708/x
  3. Step 3: Cross multiply
    7,528x = 17,708 × 17,708
  4. Step 4: Simplify right side
    7,528x = 313,573,264
  5. Step 5: Solve for x
    x = 313,573,264/7,528
  6. Step 6: Final answer
    x = 41,654.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.