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Finding the Third Proportional to 9,621 and 15,448.50

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Solution

The third proportional to 9,621 and 15,448.50 is: 24,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621 : 15,448.50 = 15,448.50 : x
  2. Step 2: Convert to fraction form
    9,621/15,448.50 = 15,448.50/x
  3. Step 3: Cross multiply
    9,621x = 15,448.50 × 15,448.50
  4. Step 4: Simplify right side
    9,621x = 238,656,152.25
  5. Step 5: Solve for x
    x = 238,656,152.25/9,621
  6. Step 6: Final answer
    x = 24,805.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.