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Finding the Third Proportional to 53,322 and 71,553

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Solution

The third proportional to 53,322 and 71,553 is: 96,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,322 : 71,553 = 71,553 : x
  2. Step 2: Convert to fraction form
    53,322/71,553 = 71,553/x
  3. Step 3: Cross multiply
    53,322x = 71,553 × 71,553
  4. Step 4: Simplify right side
    53,322x = 5,119,831,809
  5. Step 5: Solve for x
    x = 5,119,831,809/53,322
  6. Step 6: Final answer
    x = 96,017.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.