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Finding the Third Proportional to 38,064 and 83,532

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Solution

The third proportional to 38,064 and 83,532 is: 183,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 83,532 = 83,532 : x
  2. Step 2: Convert to fraction form
    38,064/83,532 = 83,532/x
  3. Step 3: Cross multiply
    38,064x = 83,532 × 83,532
  4. Step 4: Simplify right side
    38,064x = 6,977,595,024
  5. Step 5: Solve for x
    x = 6,977,595,024/38,064
  6. Step 6: Final answer
    x = 183,312.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.