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Finding the Third Proportional to 36,798 and 58,365

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Solution

The third proportional to 36,798 and 58,365 is: 92,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 58,365 = 58,365 : x
  2. Step 2: Convert to fraction form
    36,798/58,365 = 58,365/x
  3. Step 3: Cross multiply
    36,798x = 58,365 × 58,365
  4. Step 4: Simplify right side
    36,798x = 3,406,473,225
  5. Step 5: Solve for x
    x = 3,406,473,225/36,798
  6. Step 6: Final answer
    x = 92,572.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.