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Finding the Third Proportional to 7,273 and 15,411.50

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Solution

The third proportional to 7,273 and 15,411.50 is: 32,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273 : 15,411.50 = 15,411.50 : x
  2. Step 2: Convert to fraction form
    7,273/15,411.50 = 15,411.50/x
  3. Step 3: Cross multiply
    7,273x = 15,411.50 × 15,411.50
  4. Step 4: Simplify right side
    7,273x = 237,514,332.25
  5. Step 5: Solve for x
    x = 237,514,332.25/7,273
  6. Step 6: Final answer
    x = 32,657.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.