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Finding the Third Proportional to 4,374 and 9,653.55

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Solution

The third proportional to 4,374 and 9,653.55 is: 21,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 9,653.55 = 9,653.55 : x
  2. Step 2: Convert to fraction form
    4,374/9,653.55 = 9,653.55/x
  3. Step 3: Cross multiply
    4,374x = 9,653.55 × 9,653.55
  4. Step 4: Simplify right side
    4,374x = 93,191,118.10
  5. Step 5: Solve for x
    x = 93,191,118.10/4,374
  6. Step 6: Final answer
    x = 21,305.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.