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Finding the Third Proportional to 24,202 and 36,547

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Solution

The third proportional to 24,202 and 36,547 is: 55,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202 : 36,547 = 36,547 : x
  2. Step 2: Convert to fraction form
    24,202/36,547 = 36,547/x
  3. Step 3: Cross multiply
    24,202x = 36,547 × 36,547
  4. Step 4: Simplify right side
    24,202x = 1,335,683,209
  5. Step 5: Solve for x
    x = 1,335,683,209/24,202
  6. Step 6: Final answer
    x = 55,188.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.