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Finding the Third Proportional to 14,421 and 34,903.50

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Solution

The third proportional to 14,421 and 34,903.50 is: 84,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 34,903.50 = 34,903.50 : x
  2. Step 2: Convert to fraction form
    14,421/34,903.50 = 34,903.50/x
  3. Step 3: Cross multiply
    14,421x = 34,903.50 × 34,903.50
  4. Step 4: Simplify right side
    14,421x = 1,218,254,312.25
  5. Step 5: Solve for x
    x = 1,218,254,312.25/14,421
  6. Step 6: Final answer
    x = 84,477.80

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.