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Finding the Third Proportional to 13,532.06 and 15,411.52

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Solution

The third proportional to 13,532.06 and 15,411.52 is: 17,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.06 : 15,411.52 = 15,411.52 : x
  2. Step 2: Convert to fraction form
    13,532.06/15,411.52 = 15,411.52/x
  3. Step 3: Cross multiply
    13,532.06x = 15,411.52 × 15,411.52
  4. Step 4: Simplify right side
    13,532.06x = 237,514,813.86
  5. Step 5: Solve for x
    x = 237,514,813.86/13,532.06
  6. Step 6: Final answer
    x = 17,552.00

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Why These Related Problems?

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