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Finding the Third Proportional to 9,852.19 and 21,259.69

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Solution

The third proportional to 9,852.19 and 21,259.69 is: 45,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.19 : 21,259.69 = 21,259.69 : x
  2. Step 2: Convert to fraction form
    9,852.19/21,259.69 = 21,259.69/x
  3. Step 3: Cross multiply
    9,852.19x = 21,259.69 × 21,259.69
  4. Step 4: Simplify right side
    9,852.19x = 451,974,312.60
  5. Step 5: Solve for x
    x = 451,974,312.60/9,852.19
  6. Step 6: Final answer
    x = 45,875.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.