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Finding the Third Proportional to 35,748 and 77,721.75

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Solution

The third proportional to 35,748 and 77,721.75 is: 168,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748 : 77,721.75 = 77,721.75 : x
  2. Step 2: Convert to fraction form
    35,748/77,721.75 = 77,721.75/x
  3. Step 3: Cross multiply
    35,748x = 77,721.75 × 77,721.75
  4. Step 4: Simplify right side
    35,748x = 6,040,670,423.06
  5. Step 5: Solve for x
    x = 6,040,670,423.06/35,748
  6. Step 6: Final answer
    x = 168,979.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.