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Finding the Third Proportional to 10,374 and 15,966.50

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Solution

The third proportional to 10,374 and 15,966.50 is: 24,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374 : 15,966.50 = 15,966.50 : x
  2. Step 2: Convert to fraction form
    10,374/15,966.50 = 15,966.50/x
  3. Step 3: Cross multiply
    10,374x = 15,966.50 × 15,966.50
  4. Step 4: Simplify right side
    10,374x = 254,929,122.25
  5. Step 5: Solve for x
    x = 254,929,122.25/10,374
  6. Step 6: Final answer
    x = 24,573.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.