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Finding the Third Proportional to 21,345 and 31,465.50

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Solution

The third proportional to 21,345 and 31,465.50 is: 46,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345 : 31,465.50 = 31,465.50 : x
  2. Step 2: Convert to fraction form
    21,345/31,465.50 = 31,465.50/x
  3. Step 3: Cross multiply
    21,345x = 31,465.50 × 31,465.50
  4. Step 4: Simplify right side
    21,345x = 990,077,690.25
  5. Step 5: Solve for x
    x = 990,077,690.25/21,345
  6. Step 6: Final answer
    x = 46,384.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.