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Finding the Third Proportional to 8,547 and 11,290.50

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Solution

The third proportional to 8,547 and 11,290.50 is: 14,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547 : 11,290.50 = 11,290.50 : x
  2. Step 2: Convert to fraction form
    8,547/11,290.50 = 11,290.50/x
  3. Step 3: Cross multiply
    8,547x = 11,290.50 × 11,290.50
  4. Step 4: Simplify right side
    8,547x = 127,475,390.25
  5. Step 5: Solve for x
    x = 127,475,390.25/8,547
  6. Step 6: Final answer
    x = 14,914.64

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.