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Finding the Third Proportional to 15,600 and 24,187.50

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Solution

The third proportional to 15,600 and 24,187.50 is: 37,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600 : 24,187.50 = 24,187.50 : x
  2. Step 2: Convert to fraction form
    15,600/24,187.50 = 24,187.50/x
  3. Step 3: Cross multiply
    15,600x = 24,187.50 × 24,187.50
  4. Step 4: Simplify right side
    15,600x = 585,035,156.25
  5. Step 5: Solve for x
    x = 585,035,156.25/15,600
  6. Step 6: Final answer
    x = 37,502.25

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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.