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Finding the Third Proportional to 7,547.50 and 11,090

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Solution

The third proportional to 7,547.50 and 11,090 is: 16,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.50 : 11,090 = 11,090 : x
  2. Step 2: Convert to fraction form
    7,547.50/11,090 = 11,090/x
  3. Step 3: Cross multiply
    7,547.50x = 11,090 × 11,090
  4. Step 4: Simplify right side
    7,547.50x = 122,988,100
  5. Step 5: Solve for x
    x = 122,988,100/7,547.50
  6. Step 6: Final answer
    x = 16,295.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.