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Finding the Third Proportional to 9,701.16 and 21,307.50

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Solution

The third proportional to 9,701.16 and 21,307.50 is: 46,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.16 : 21,307.50 = 21,307.50 : x
  2. Step 2: Convert to fraction form
    9,701.16/21,307.50 = 21,307.50/x
  3. Step 3: Cross multiply
    9,701.16x = 21,307.50 × 21,307.50
  4. Step 4: Simplify right side
    9,701.16x = 454,009,556.25
  5. Step 5: Solve for x
    x = 454,009,556.25/9,701.16
  6. Step 6: Final answer
    x = 46,799.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.