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Finding the Third Proportional to 9,507 and 15,172.50

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Solution

The third proportional to 9,507 and 15,172.50 is: 24,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507 : 15,172.50 = 15,172.50 : x
  2. Step 2: Convert to fraction form
    9,507/15,172.50 = 15,172.50/x
  3. Step 3: Cross multiply
    9,507x = 15,172.50 × 15,172.50
  4. Step 4: Simplify right side
    9,507x = 230,204,756.25
  5. Step 5: Solve for x
    x = 230,204,756.25/9,507
  6. Step 6: Final answer
    x = 24,214.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.