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Finding the Third Proportional to 9,714.94 and 21,277.69

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Solution

The third proportional to 9,714.94 and 21,277.69 is: 46,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 21,277.69 = 21,277.69 : x
  2. Step 2: Convert to fraction form
    9,714.94/21,277.69 = 21,277.69/x
  3. Step 3: Cross multiply
    9,714.94x = 21,277.69 × 21,277.69
  4. Step 4: Simplify right side
    9,714.94x = 452,739,985.35
  5. Step 5: Solve for x
    x = 452,739,985.35/9,714.94
  6. Step 6: Final answer
    x = 46,602.46

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1.5x scale

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.