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Finding the Third Proportional to 9,830.53 and 21,051.35

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Solution

The third proportional to 9,830.53 and 21,051.35 is: 45,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.53 : 21,051.35 = 21,051.35 : x
  2. Step 2: Convert to fraction form
    9,830.53/21,051.35 = 21,051.35/x
  3. Step 3: Cross multiply
    9,830.53x = 21,051.35 × 21,051.35
  4. Step 4: Simplify right side
    9,830.53x = 443,159,402.61
  5. Step 5: Solve for x
    x = 443,159,402.61/9,830.53
  6. Step 6: Final answer
    x = 45,079.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.