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Finding the Third Proportional to 15,413.63 and 24,505.88

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Solution

The third proportional to 15,413.63 and 24,505.88 is: 38,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.63 : 24,505.88 = 24,505.88 : x
  2. Step 2: Convert to fraction form
    15,413.63/24,505.88 = 24,505.88/x
  3. Step 3: Cross multiply
    15,413.63x = 24,505.88 × 24,505.88
  4. Step 4: Simplify right side
    15,413.63x = 600,537,909.52
  5. Step 5: Solve for x
    x = 600,537,909.52/15,413.63
  6. Step 6: Final answer
    x = 38,961.50

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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.