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Finding the Third Proportional to 45,927 and 64,486.13

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Solution

The third proportional to 45,927 and 64,486.13 is: 90,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 64,486.13 = 64,486.13 : x
  2. Step 2: Convert to fraction form
    45,927/64,486.13 = 64,486.13/x
  3. Step 3: Cross multiply
    45,927x = 64,486.13 × 64,486.13
  4. Step 4: Simplify right side
    45,927x = 4,158,460,317.52
  5. Step 5: Solve for x
    x = 4,158,460,317.52/45,927
  6. Step 6: Final answer
    x = 90,545.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.