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Finding the Third Proportional to 9,547.50 and 10,843.50

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Solution

The third proportional to 9,547.50 and 10,843.50 is: 12,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.50 : 10,843.50 = 10,843.50 : x
  2. Step 2: Convert to fraction form
    9,547.50/10,843.50 = 10,843.50/x
  3. Step 3: Cross multiply
    9,547.50x = 10,843.50 × 10,843.50
  4. Step 4: Simplify right side
    9,547.50x = 117,581,492.25
  5. Step 5: Solve for x
    x = 117,581,492.25/9,547.50
  6. Step 6: Final answer
    x = 12,315.42

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.