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Finding the Third Proportional to 53,000 and 71,724

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Solution

The third proportional to 53,000 and 71,724 is: 97,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000 : 71,724 = 71,724 : x
  2. Step 2: Convert to fraction form
    53,000/71,724 = 71,724/x
  3. Step 3: Cross multiply
    53,000x = 71,724 × 71,724
  4. Step 4: Simplify right side
    53,000x = 5,144,332,176
  5. Step 5: Solve for x
    x = 5,144,332,176/53,000
  6. Step 6: Final answer
    x = 97,062.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.