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Finding the Third Proportional to 21,038.48 and 45,254.95

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Solution

The third proportional to 21,038.48 and 45,254.95 is: 97,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.48 : 45,254.95 = 45,254.95 : x
  2. Step 2: Convert to fraction form
    21,038.48/45,254.95 = 45,254.95/x
  3. Step 3: Cross multiply
    21,038.48x = 45,254.95 × 45,254.95
  4. Step 4: Simplify right side
    21,038.48x = 2,048,010,782.35
  5. Step 5: Solve for x
    x = 2,048,010,782.35/21,038.48
  6. Step 6: Final answer
    x = 97,345.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.