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Finding the Third Proportional to 7,413.19 and 16,264.13

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Solution

The third proportional to 7,413.19 and 16,264.13 is: 35,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.19 : 16,264.13 = 16,264.13 : x
  2. Step 2: Convert to fraction form
    7,413.19/16,264.13 = 16,264.13/x
  3. Step 3: Cross multiply
    7,413.19x = 16,264.13 × 16,264.13
  4. Step 4: Simplify right side
    7,413.19x = 264,521,762.02
  5. Step 5: Solve for x
    x = 264,521,762.02/7,413.19
  6. Step 6: Final answer
    x = 35,682.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.