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Finding the Third Proportional to 24,607 and 38,206

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Solution

The third proportional to 24,607 and 38,206 is: 59,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607 : 38,206 = 38,206 : x
  2. Step 2: Convert to fraction form
    24,607/38,206 = 38,206/x
  3. Step 3: Cross multiply
    24,607x = 38,206 × 38,206
  4. Step 4: Simplify right side
    24,607x = 1,459,698,436
  5. Step 5: Solve for x
    x = 1,459,698,436/24,607
  6. Step 6: Final answer
    x = 59,320.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.