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Finding the Third Proportional to 36,076 and 77,335

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Solution

The third proportional to 36,076 and 77,335 is: 165,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076 : 77,335 = 77,335 : x
  2. Step 2: Convert to fraction form
    36,076/77,335 = 77,335/x
  3. Step 3: Cross multiply
    36,076x = 77,335 × 77,335
  4. Step 4: Simplify right side
    36,076x = 5,980,702,225
  5. Step 5: Solve for x
    x = 5,980,702,225/36,076
  6. Step 6: Final answer
    x = 165,780.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.