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Finding the Third Proportional to 36,308 and 53,490

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Solution

The third proportional to 36,308 and 53,490 is: 78,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,308 : 53,490 = 53,490 : x
  2. Step 2: Convert to fraction form
    36,308/53,490 = 53,490/x
  3. Step 3: Cross multiply
    36,308x = 53,490 × 53,490
  4. Step 4: Simplify right side
    36,308x = 2,861,180,100
  5. Step 5: Solve for x
    x = 2,861,180,100/36,308
  6. Step 6: Final answer
    x = 78,803.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.