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Finding the Third Proportional to 15,502.50 and 38,518

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Solution

The third proportional to 15,502.50 and 38,518 is: 95,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.50 : 38,518 = 38,518 : x
  2. Step 2: Convert to fraction form
    15,502.50/38,518 = 38,518/x
  3. Step 3: Cross multiply
    15,502.50x = 38,518 × 38,518
  4. Step 4: Simplify right side
    15,502.50x = 1,483,636,324
  5. Step 5: Solve for x
    x = 1,483,636,324/15,502.50
  6. Step 6: Final answer
    x = 95,703.04

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.