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Finding the Third Proportional to 14,480 and 31,776

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Solution

The third proportional to 14,480 and 31,776 is: 69,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480 : 31,776 = 31,776 : x
  2. Step 2: Convert to fraction form
    14,480/31,776 = 31,776/x
  3. Step 3: Cross multiply
    14,480x = 31,776 × 31,776
  4. Step 4: Simplify right side
    14,480x = 1,009,714,176
  5. Step 5: Solve for x
    x = 1,009,714,176/14,480
  6. Step 6: Final answer
    x = 69,731.64

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Why These Related Problems?

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