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Finding the Third Proportional to 35,748 and 53,013

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Solution

The third proportional to 35,748 and 53,013 is: 78,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748 : 53,013 = 53,013 : x
  2. Step 2: Convert to fraction form
    35,748/53,013 = 53,013/x
  3. Step 3: Cross multiply
    35,748x = 53,013 × 53,013
  4. Step 4: Simplify right side
    35,748x = 2,810,378,169
  5. Step 5: Solve for x
    x = 2,810,378,169/35,748
  6. Step 6: Final answer
    x = 78,616.37

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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.