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Finding the Third Proportional to 26,230 and 39,335

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Solution

The third proportional to 26,230 and 39,335 is: 58,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,230 : 39,335 = 39,335 : x
  2. Step 2: Convert to fraction form
    26,230/39,335 = 39,335/x
  3. Step 3: Cross multiply
    26,230x = 39,335 × 39,335
  4. Step 4: Simplify right side
    26,230x = 1,547,242,225
  5. Step 5: Solve for x
    x = 1,547,242,225/26,230
  6. Step 6: Final answer
    x = 58,987.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.