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Finding the Third Proportional to 9,563.50 and 14,547.50

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Solution

The third proportional to 9,563.50 and 14,547.50 is: 22,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.50 : 14,547.50 = 14,547.50 : x
  2. Step 2: Convert to fraction form
    9,563.50/14,547.50 = 14,547.50/x
  3. Step 3: Cross multiply
    9,563.50x = 14,547.50 × 14,547.50
  4. Step 4: Simplify right side
    9,563.50x = 211,629,756.25
  5. Step 5: Solve for x
    x = 211,629,756.25/9,563.50
  6. Step 6: Final answer
    x = 22,128.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.