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Finding the Third Proportional to 38,724 and 59,553

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Solution

The third proportional to 38,724 and 59,553 is: 91,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724 : 59,553 = 59,553 : x
  2. Step 2: Convert to fraction form
    38,724/59,553 = 59,553/x
  3. Step 3: Cross multiply
    38,724x = 59,553 × 59,553
  4. Step 4: Simplify right side
    38,724x = 3,546,559,809
  5. Step 5: Solve for x
    x = 3,546,559,809/38,724
  6. Step 6: Final answer
    x = 91,585.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.