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Finding the Third Proportional to 36,280 and 53,178

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Solution

The third proportional to 36,280 and 53,178 is: 77,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,280 : 53,178 = 53,178 : x
  2. Step 2: Convert to fraction form
    36,280/53,178 = 53,178/x
  3. Step 3: Cross multiply
    36,280x = 53,178 × 53,178
  4. Step 4: Simplify right side
    36,280x = 2,827,899,684
  5. Step 5: Solve for x
    x = 2,827,899,684/36,280
  6. Step 6: Final answer
    x = 77,946.52

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Why These Related Problems?

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