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Finding the Third Proportional to 11,547 and 19,264.50

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Solution

The third proportional to 11,547 and 19,264.50 is: 32,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 19,264.50 = 19,264.50 : x
  2. Step 2: Convert to fraction form
    11,547/19,264.50 = 19,264.50/x
  3. Step 3: Cross multiply
    11,547x = 19,264.50 × 19,264.50
  4. Step 4: Simplify right side
    11,547x = 371,120,960.25
  5. Step 5: Solve for x
    x = 371,120,960.25/11,547
  6. Step 6: Final answer
    x = 32,140.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.