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Finding the Third Proportional to 9,531 and 22,528.50

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Solution

The third proportional to 9,531 and 22,528.50 is: 53,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531 : 22,528.50 = 22,528.50 : x
  2. Step 2: Convert to fraction form
    9,531/22,528.50 = 22,528.50/x
  3. Step 3: Cross multiply
    9,531x = 22,528.50 × 22,528.50
  4. Step 4: Simplify right side
    9,531x = 507,533,312.25
  5. Step 5: Solve for x
    x = 507,533,312.25/9,531
  6. Step 6: Final answer
    x = 53,250.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.