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Finding the Third Proportional to 15,535 and 24,706.50

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Solution

The third proportional to 15,535 and 24,706.50 is: 39,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535 : 24,706.50 = 24,706.50 : x
  2. Step 2: Convert to fraction form
    15,535/24,706.50 = 24,706.50/x
  3. Step 3: Cross multiply
    15,535x = 24,706.50 × 24,706.50
  4. Step 4: Simplify right side
    15,535x = 610,411,142.25
  5. Step 5: Solve for x
    x = 610,411,142.25/15,535
  6. Step 6: Final answer
    x = 39,292.64

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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.