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Finding the Third Proportional to 9,770.63 and 15,577.31

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Solution

The third proportional to 9,770.63 and 15,577.31 is: 24,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.63 : 15,577.31 = 15,577.31 : x
  2. Step 2: Convert to fraction form
    9,770.63/15,577.31 = 15,577.31/x
  3. Step 3: Cross multiply
    9,770.63x = 15,577.31 × 15,577.31
  4. Step 4: Simplify right side
    9,770.63x = 242,652,664.72
  5. Step 5: Solve for x
    x = 242,652,664.72/9,770.63
  6. Step 6: Final answer
    x = 24,834.92

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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.