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Finding the Third Proportional to 36,532 and 78,776

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Solution

The third proportional to 36,532 and 78,776 is: 169,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 78,776 = 78,776 : x
  2. Step 2: Convert to fraction form
    36,532/78,776 = 78,776/x
  3. Step 3: Cross multiply
    36,532x = 78,776 × 78,776
  4. Step 4: Simplify right side
    36,532x = 6,205,658,176
  5. Step 5: Solve for x
    x = 6,205,658,176/36,532
  6. Step 6: Final answer
    x = 169,869.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.