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Finding the Third Proportional to 35,721 and 53,264.25

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Solution

The third proportional to 35,721 and 53,264.25 is: 79,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721 : 53,264.25 = 53,264.25 : x
  2. Step 2: Convert to fraction form
    35,721/53,264.25 = 53,264.25/x
  3. Step 3: Cross multiply
    35,721x = 53,264.25 × 53,264.25
  4. Step 4: Simplify right side
    35,721x = 2,837,080,328.06
  5. Step 5: Solve for x
    x = 2,837,080,328.06/35,721
  6. Step 6: Final answer
    x = 79,423.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.