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Finding the Third Proportional to 15,570 and 24,488

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Solution

The third proportional to 15,570 and 24,488 is: 38,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,570 : 24,488 = 24,488 : x
  2. Step 2: Convert to fraction form
    15,570/24,488 = 24,488/x
  3. Step 3: Cross multiply
    15,570x = 24,488 × 24,488
  4. Step 4: Simplify right side
    15,570x = 599,662,144
  5. Step 5: Solve for x
    x = 599,662,144/15,570
  6. Step 6: Final answer
    x = 38,513.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.