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Finding the Third Proportional to 42,024 and 63,360

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Solution

The third proportional to 42,024 and 63,360 is: 95,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024 : 63,360 = 63,360 : x
  2. Step 2: Convert to fraction form
    42,024/63,360 = 63,360/x
  3. Step 3: Cross multiply
    42,024x = 63,360 × 63,360
  4. Step 4: Simplify right side
    42,024x = 4,014,489,600
  5. Step 5: Solve for x
    x = 4,014,489,600/42,024
  6. Step 6: Final answer
    x = 95,528.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.