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Finding the Third Proportional to 9,932.63 and 15,784.88

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Solution

The third proportional to 9,932.63 and 15,784.88 is: 25,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.63 : 15,784.88 = 15,784.88 : x
  2. Step 2: Convert to fraction form
    9,932.63/15,784.88 = 15,784.88/x
  3. Step 3: Cross multiply
    9,932.63x = 15,784.88 × 15,784.88
  4. Step 4: Simplify right side
    9,932.63x = 249,162,278.77
  5. Step 5: Solve for x
    x = 249,162,278.77/9,932.63
  6. Step 6: Final answer
    x = 25,085.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.