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Finding the Third Proportional to 35,580 and 53,468

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Solution

The third proportional to 35,580 and 53,468 is: 80,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580 : 53,468 = 53,468 : x
  2. Step 2: Convert to fraction form
    35,580/53,468 = 53,468/x
  3. Step 3: Cross multiply
    35,580x = 53,468 × 53,468
  4. Step 4: Simplify right side
    35,580x = 2,858,827,024
  5. Step 5: Solve for x
    x = 2,858,827,024/35,580
  6. Step 6: Final answer
    x = 80,349.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.