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Finding the Third Proportional to 24,984 and 39,838.50

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Solution

The third proportional to 24,984 and 39,838.50 is: 63,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984 : 39,838.50 = 39,838.50 : x
  2. Step 2: Convert to fraction form
    24,984/39,838.50 = 39,838.50/x
  3. Step 3: Cross multiply
    24,984x = 39,838.50 × 39,838.50
  4. Step 4: Simplify right side
    24,984x = 1,587,106,082.25
  5. Step 5: Solve for x
    x = 1,587,106,082.25/24,984
  6. Step 6: Final answer
    x = 63,524.90

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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.