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Finding the Third Proportional to 21,064.50 and 46,085.63

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Solution

The third proportional to 21,064.50 and 46,085.63 is: 100,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.50 : 46,085.63 = 46,085.63 : x
  2. Step 2: Convert to fraction form
    21,064.50/46,085.63 = 46,085.63/x
  3. Step 3: Cross multiply
    21,064.50x = 46,085.63 × 46,085.63
  4. Step 4: Simplify right side
    21,064.50x = 2,123,884,831.64
  5. Step 5: Solve for x
    x = 2,123,884,831.64/21,064.50
  6. Step 6: Final answer
    x = 100,827.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.