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Finding the Third Proportional to 7,320 and 16,047

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Solution

The third proportional to 7,320 and 16,047 is: 35,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320 : 16,047 = 16,047 : x
  2. Step 2: Convert to fraction form
    7,320/16,047 = 16,047/x
  3. Step 3: Cross multiply
    7,320x = 16,047 × 16,047
  4. Step 4: Simplify right side
    7,320x = 257,506,209
  5. Step 5: Solve for x
    x = 257,506,209/7,320
  6. Step 6: Final answer
    x = 35,178.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.